Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other. If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem. For the same reason, if m∠B < m∠C, then AC < AB. This is a contradiction to what is given. Therefore, it can be concluded that ________.

Answers

Answer 1
Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other. If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem. For the same reason, if m∠B < m∠C, then AC < AB. This is a contradiction to what is given. Therefore, it can be concluded that 


Answer: Angle (B) is Congruent to Angle (C)

Hope it helps
Answer 2

Answer:

We are given that ΔABC is isosceles with AB ≅ AC. Using the definition of congruent line segments, we know that

✔ AB = AC

.

Let’s assume that angles B and C are not congruent. Then one angle measure must be greater than the other. If m∠B is greater than m∠C, then AC is greater than AB by the

✔ triangle parts relationship theorem

.

However, this contradicts the given information that

✔ side AB is congruent to side AC

. Therefore,

✔ angle B is congruent to angle C

, which is what we wished to prove.

Similarly, if m∠B is less than m∠C, we would reach the contradiction that AB > AC. Therefore, the angles must be congruent.

Step-by-step explanation:

edge 2020


Related Questions

The difference between 3.6 and a number is 2.95, as shown below. What number should go in the box to complete the subtraction problem?

Numerical Answers Expected!

Answers

The missing number is 6.   3.6-.65 = 2.95
3.6 - 2.95 = .65

Hope it helps ;)))

If you rewrite the problem 14(22) as 14(20+2) so that you can use mental math, which of the following properties will you use?
*nevermind I got it* 

Answers

For this case, the property you can use is the following:
 Commutative property.
 We have then that:
 14 (20 + 2) = 280 + 28 = 308
 Equivalently:
 14 (2 + 20) = 28 + 280 = 308
 Either way the result is exactly the same.
 Answer: 
 Commutative property.

ALL I NEED YOU GUYS TO DO IS TO EXPLAIN THIS IN THE MOST FANCY WAY POSSIBLE!!!! THIS IS JUST FOR FUN, I WILL MARK BRAINLIEST FOR THE FANCIEST ANSWER!!!!

WHAT IS 5x5?!?!?!?!?!

Answers

Five times five equals twenty five!!

25 <<<<< THERE IS YOUR ANSWER!

Have a nice day!
~Brooke❤️

It's 25 easy how I got my answer I looked on my fingers and put 5 fingers up and i did it 5 times and got 5.10.15.20.25 that's 5 times


The surface area of a rectangular prism is 792 units2. The length of the prism is 2 times the width, and the width is 4 times the height. What is the volume of the prism?

Answers

Answer:

The real answer is 846 ^-^ I got it right

The volume of the rectangular prism is 105.57

What is the volume of a rectangular prism?

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The volume of a rectangular prism=Length X Width X Height

Where l, h and w represent the length, height and width respectively.

Given that;

Length of the prism is 2 times the width L = 2w

the width is 4 times the height  w = 4h

Now let’s plug these values;

the surface area equation, it becomes;

A = 2(2w(w) + w(w/4) + w/4(2w))

A = 2(2w^2 + w^2/4 + w^2/2)

A = 1/2(7w^2)

792 x2 = 7w^2

w = 15.04

The volume of a rectangular prism=Length X Width X Height

V = 2w x w x w/4

V x 2 = w³

V = 15.04³/2

V = 105.57

Thus, the volume is 105.57.

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Suppose rebecca needs a dog sitter so that she can travel to her sister's wedding. rebecca values dog sitting for the weekend at $200. susan is willing to dog sit for rebecca so long as she receives at least $150. rebecca and susan agree on a price of $175. suppose the government imposes a tax of $10 on dog sitting. the tax has made rebecca and susan worse off by a total of

Answers

Answer: They are worse off by 5.7%.

I assumed that you are looking for the percentage that the girls have to pay. To find the percent, we need to divide 10 by 175 and multiply it by 100. That will give us 5.7%. One of the girls will have to pay this, or they could split it evenly and each pay $5 or 2.9%,

The tax has only made Susan worse off by $10 or 5.7% because Rebecca is the one who is going to pay for the dog sitting and not Susan (who is going to have an income of $165 after-tax).

Further Explanation:

Income Tax: It is the additional payment that an individual needs to pay on the amount of income he/she generates. Here $10 is the tax on the income which Susan is going to generate by dog sitting the dog of Rebecca.

Here, it can be seen that Susan is the one who is earning from the transaction and not Rebecca. So, Rebecca is should not bear any tax payable to the government since both of them agree to a price of $175 so that is the only amount which Rebecca is going to pay for dog sitting. Also, if Susan herself pays the whole amount of tax, it still would not bother her because her expectation from dog sitting was $150 which is still lesser than what she expected in the first place.

Learn more:

1. Learn more about the tax on the profit from selling the fixed assets

https://brainly.com/question/2617534

2. Learn more about the personal tax

https://brainly.com/question/1762937

3. Learn more about the role of money

https://brainly.com/question/12984919

Answer details:

Grade: Senior School

Subject: Taxation

Chapter: Tax imposed on various services.

Keywords: Income tax, payment of tax, dog sitting during the wedding, dog sitter, worse off condition of Rebecca and Susan.

BRAINLIESTTTT!!!
If Mary pitches a baseball with the initial height of 6 feet and a velocity of 73 feet per second, how long will it take for the ball to hit the ground? :)

Answers

x = [ -73 +/- sqrt (73^2 - 4 * -16 *6) ] / (2 * -16)

73^2 - 4 * -16 * 6 = 5713

sqrt 5713= 75.58

(-73 - 75.58) / -32 = 4.64

Good luck :)
when the ball hits the ground H(t) =, 0 so just plug in 0 for H(t) , 6 for s and 73 for v, then solve for t.

 Hope this helps!

Which expressions are equivalent to the one below? Check all that apply. 9x

Answers

Answer:

C.),F.),andD.) Are correct

Step-by-step explanation:

Answer:

Option: C, D and F are the correct options.

C.   [tex](\dfrac{36}{4})^x[/tex]

D.   [tex]9\cdot 9^{x-1}[/tex]

F.  [tex]\dfrac{36^x}{4^x}[/tex]

Step-by-step explanation:

We are asked to find the expression which is equivalent to:

                                        [tex]9^x[/tex]

C)

 [tex](\dfrac{36}{4})^x[/tex]

We know that:

[tex](\dfrac{36}{4})^x=9^x[/tex]

Since, 36/4=9

Hence, option: C is correct.

D)

[tex]9\cdot 9^{x-1}=9^{1+x-1}[/tex]

Since,

[tex]a^m\cdot a^n=a^{m+n}[/tex]

Hence,

[tex]9\cdot 9^{x-1}=9^x[/tex]

Hence, option: D is correct.

F)

[tex]\dfrac{36^x}{4^x}[/tex]

We know that:

[tex]\dfrac{36^x}{4^x}=(\dfrac{36}{4})^x[/tex]

Since, we know that:

[tex]\dfrac{a^n}{b^n}=(\dfrac{a}{b})^n[/tex]

Hence, we have:

[tex]\dfrac{36^x}{4^x}=9^x[/tex]

Since, 36/4=9

Hence, option: F is the correct answer.

A seller buys an item from a manufacturer for $9,500 he increases cost by %5 percent.What is the markup value?
markup = original cost x percentage markup

Answers

the markup cost is 475 dollars!

Hope this helps!
♤MidnightQueen

Answer: $475

Step-by-step explanation:

Given : A seller buys an item from a manufacturer for $9,500 he increases cost by %5 percent.

i.e. The original cost of item = $9,500

Mark up percentage = 5% = 0.05

The formula given to find the mark up value is :_

[tex]\text{Mark up}=\text{Original cost * percentage mark up}\\\\\Rightarrow\ \text{Mark up}=9500\times0.05=\$475[/tex]

Hence, the mark up value = $475

1. Based on the information given, can you determine that the quadrilateral must be a

parallelogram? Explain.

Given: (BE) ̅  (ED) ̅ and (AE) ̅  (EC) ̅


2. The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain.

Answers

Solving Q1: Given BE = ED and AE = EC.

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

AD║BC (Converse of Alternate Interior angles theorem)


Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

AB║CD (Converse of Alternate Interior angles theorem)


Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

****************************************************************************************************

Solving Q2: The parallelogram has the angle measures shown in the diagram.

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

If possible, choose k so that the following function is continuous on any interval:

f(x)= (5x^4-20x^3)/(x-4) , x≠4
f(x)= K , x=4

k=?,

Answers

We need to cancel out the discontinuity in x = 4

In order to do that, factorize the numerator:
5x⁴ - 20x³ = 5x³(x-4)

This way, your function will be:
f(x) = 5x³(x-4) / (x-4)

and the two parentheses cancel out, leaving
f(x) = 5x³ 

which at x = 4 gives:
f(4) = 5·4³ = 5 · 64 = 320

Therefore K = 320.

Using continuity concepts, it is found that K = 320 makes the function continuous.

------------------

A function f(x) is said to be continuous at x = a if:

[tex]\lim_{x \rightarrow a^{-}} = \lim_{x \rightarrow a^{+}} = f(a)[/tex]

------------------

The piece-wise function given is:

[tex]f(x) = \frac{5x^4 - 20x^3}{x-4}, x \neq 4[/tex]

[tex]f(x) = K, x = 4[/tex]

------------------

The definition for x different of 4 can be simplified, as follows:

[tex]f(x) = \frac{5x^4 - 20x^3}{x-4} = \frac{5x^3(x - 4)}{x - 4} = 5x^3[/tex]

Thus, the simplified definition is:

[tex]f(x) = 5x^3, x \neq 4[/tex]

[tex]f(x) = K, x = 4[/tex]

------------------

For the lateral limits, x is close to but not exactly 4, so the first definition is used.

[tex]\lim_{x \rightarrow 4^-} = \lim_{x \rightarrow 4} 5x^3 = 5(4)^3 = 5 \times 64 = 320[/tex]

[tex]\lim_{x \rightarrow 4^+} = \lim_{x \rightarrow 4} 5x^3 = 5(4)^3 = 5 \times 64 = 320[/tex]

------------------

For continuity, it is needed that:

[tex]f(4) = 320[/tex]

Thus:

[tex]K = 320[/tex] makes the function continuous.

A similar problem is given at https://brainly.com/question/14755764

How many solutions does the system have?
X+y=5
X+y=6

Answers

The system has no solutions.

{ x+y=5
{ x+y=6

Solve the equation for x

{ x=5-y
{ x=y=6

Substitute the given value of x into the equation x+y=6

5-y+y=6

Solve the equation for y

y∈⊘


An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

x + y = 5

x + y = 6

5 ≠ 6

The system of equations has many solutions.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 is an equation.

2x + 4 - 5x is an equation.

We have,

x + y = 5 _____(1)

x + y = 6 ______(2)

Now,

Solving (1) and (2) we get,

5 = 6

This is not true.

This means that,

We have many solutions.

If we get,

x = y

0 = 0

n = n ( n can be any value)

The system of equations will have no solutions.

Thus,

x + y = 5

x + y = 6

5 ≠ 6

The system of equations has many solutions.

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The strength of the force of gravity depends ona.the masses of the objects and their speeds.
b.the masses of the objects and the distance between them.
c.the weight of the objects and their speeds.
d.the masses of the objects and their weights.

Answers

B) The mass of objects and the distance between them.

MAJOR HELP NEEDED!

Lea knows the following information about the 50 days where she tracked whether she wore a tie and whether she received a compliment on her outfit:

-There were 11 days where she neither wore a tie nor received a compliment.
-There were 30 days in total where she received a compliment.
-There were 16 days in total where she did not wear a tie.

Can you help Lea organize the results into a two-way frequency table?

Answers

Answer  with explanation:

We know that a two-way frequency table is constructed when we have to deal with two variables ( which is also known as a bivariate data)

Here we have two variables as wore a tie or not and the second variable is: Received compliment or not.

Hence, on the basis of the information provided to us in the question we see that the two-way frequency table is obtained as follows:

                                               Wore tie          Do not wore tie     Total

Receive compliment                 25                         5                       30

Do not receive compliment       9                         11                       20

        Total                                 34                         16                       50

The considered data given about the frequencies of events can be used to fill the two-way frequency table. The values will be 25 and 5 in first row, and 9 and 11 in second row.

How to form two-way frequency table?

Suppose two dimensions are there, viz X and Y. Some values of X are there as [tex]X_1, X_2, ... , X_n[/tex] and some values of Y are there as [tex]Y_1, Y_2, ... , Y_n[/tex]

List them in title of the rows and left to the columns. There will be [tex]n \times k[/tex] table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of  [tex]X_i[/tex]  and [tex]Y_j[/tex]  (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

We're given that:

There were 11 days where she neither wore a tie nor received a compliment.There were 30 days in total where she received a compliment.There were 16 days in total where she did not wear a tie.

If we take:

A = event of Lea wearing a tie on a day

A' = event of Lea not wearing a tie on a day

B = event of Lea getting a compliment on a day

B' = event of Lea not getting a compliment on a day

then, we're given that:

[tex]n(A' \cap B') = 11\\n(B) = 30\\n(A') = 16[/tex]

Also, total number of days = S = 50

On each of those 50 days, she either wore a tie or not.

If she didn't put on a tie on 16 out of 50 days, then she wore tie for 50-16=34 days.

Thus, we get n(A) = 34

Similarly, we get n(B') = 50 - n(B) = 50 - 30 = 20

[tex]\begin{array}{cccc}&A&A'&\rm Total\\B&n(B\cap A)&n(B\cap A')&n(B)=30\\B'&n(B' \cap A)&n(B' \cap A')=11&n(B')=20\\\rm Total & n(A)=34 & n(A')=16 & S=50 \end{array}[/tex]

Using the total of the third row, we get:

[tex]n(B' \cap A) + 11 = 20\\n(B' \cap A) = 9[/tex]

Similarly, now using second column's total, we get:

[tex]n(B \cap A) + n(B' \cap A) = 34\\n(B \cap A) + 9 = 34\\n(B \cap A) = 25[/tex]

Now using second row's total, we get:

[tex]25 + n(B \cap A') = 30\\n(B\cap A') = 5[/tex]

Thus, we get:

[tex]\begin{array}{cccc}&A&A'&\rm Total\\B&n(B\cap A)=25&n(B\cap A')=5&n(B)=30\\B'&n(B' \cap A)=9&n(B' \cap A')=11&n(B')=20\\\rm Total & n(A)=34 & n(A')=16 & S=50 \end{array}[/tex]

Thus, finally, we can say that:

                                                  Wore a tie,               Didn't wore a tie

Got a compliment                         25                                    5

Didn't got a compliment               9                                      11

Thus, the values will be 25 and 5 in first row, and 9 and 11 in second row.

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Write an equation for the line whose data is in the table below
X:1 2 5
Y: 4 6 12

Answers

y=2x+2
this is the equation for the graph

in a club there are 10 women and 10 men. A comittee of 3 men and 2 women is to be chosen. how many different possibilities are there?

Answers

5 possibilities for women, 3 possibilities for men.

The system shown is____.
equivalent
independent
inconsistent

Answers

I believe it is equivalent!
Hope this helps! :)

PLEASE PLEEAASE HELP!! You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the experimental probability that you will guess exactly three out of five questions correctly? Type your answer below using complete sentences,

Answers

The number of ways to permute three correct answers among five questions is 5Choose3 which is 5!/(3!*2!) which equals 10. We must then have the correct answer three times which happens .25 of the time, and two wrong answers 75 of the time. So the probability is 10*0.25^3*.75^2 which is 0.087890625 or roughly an 8.8% chance.

Let set C = {even numbers between 1 and 99} and set D = {numbers between 1 and 150 that are evenly divisible by 10}.

What is C ∩ D?
@ganeshie8,

Answers

In case of Set C the possible set is {2,4,6,....98} and in case of Set D, the possible set is given by { 10, 20, 30,...150}. Now C ∩ D means the set that is common to both C and D. Let's name the set as E. Hence Set E will have {10,20,30,40,50,60,70,80,90} Hence there are 9 observations which are common to both Set C and Set D.

1. Astronomers measure large distances in light-years. One light year is the distance that light can travel in one year, or approximately 5.88 x 10^12 miles. Suppose a star is 9.8 x 10^1 light years from Earth. In scientific notation, approximately how many miles is it?

A. 5.88 x 10^13 miles
B. 5.76 x 10^14 miles
C. 5.88 x 10^12 miles
D. 9.8 x 10^12 miles


2. A 1,600.00 principal earns 7% annual interest, compounded semiannually (twice per year). After 33 years, what is the balance in the account?

A. $4,979.11
B. $14,920.54
C. $112,992.00
D. $15,494.70

Answers

1. Distance: d=9.8x10^1 light years
d=9.8x10^1x5.88x10^12 miles
d=57.6x10^13 miles
d=5.76x10^14 miles

Answer: Option B. 5.76x10^14 miles

2. Principal: P=1,600
Annual interest: i=7%=7/100→i=0.07
Number of years: t=33
Balance: B=?
Compounded semiannually (twice per year) → n=2

B=P(1+i/n)^(nt)

Replacing the values:
B=$1,600(1+0.07/2)^(2x33)
B=$1,600(1+0.035)^66
B=$1,600(1.035)^66
B=$1,600(9.684185201)
B=$15,494.69632
B=$15,494.70

Answer: Option D. $15,494.70

Final Answer:

The answers are:
1. B. 5.76 x 10¹⁴ miles
2. D. $15,494.70

Explanation:

Let's solve each of these questions step by step.
Question 1:
First, we'll calculate the distance to the star in miles, given its distance in light years.
One light year is approximately 5.88 x 10¹² miles.
The star is 9.8 x 10¹ light years from Earth.

To find the distance in miles, we multiply the distance in light years by the length of one light year in miles:
Distance in miles = (5.88 x 10¹² miles/light year) * (9.8 x 10¹ light years)

To multiply these numbers in scientific notation, we multiply the coefficients (5.88 and 9.8) and then add the exponents of 10 (12 and 1).
Coefficient multiplication: 5.88 * 9.8
Using a calculator or doing the multiplication by hand, we find that 5.88 * 9.8 is approximately 57.624.
Exponent addition: 12 + 1 = 13

So the distance in miles is approximately 57.624 x 10¹³ miles.

However, in scientific notation, the coefficient should be between 1 and 10. Therefore, we need to adjust the coefficient from 57.624 to 5.7624 and increase the exponent by 1 to keep the same value.
Distance in miles = 5.7624 x 10¹⁴ miles

To make it approximately and match the answer choices, we can round the coefficient to 5.76.
Distance in miles ≈ 5.76 x 10¹⁴ miles

The closest answer to our computed value is:
B. 5.76 x 10¹⁴ miles

Question 2:
Next, let's use the compound interest formula to find the balance in the account after 33 years.
The compound interest formula is:
[tex]A = P (1 + r/n)^{(nt)[/tex]
where:
A is the amount of money accumulated after n years, including interest.
P is the principal amount (the initial amount of money).
r is the annual interest rate (decimal).
n is the number of times that interest is compounded per year.
t is the time the money is invested for, in years.

We're given:
P = $1,600.00
r = 7% annual interest = 0.07 (as a decimal)
n = 2 (since interest is compounded semiannually)
t = 33 years

Plugging these values into the formula gives us:
[tex]A = 1600.00 * (1 + 0.07/2)^{(2*33)[/tex]
Let's break it down:

Interest rate per compounding period: 0.07/2 = 0.035
Number of compounding periods: 2*33 = 66

Now substitute these values:
A = 1600 * (1 + 0.035)⁶⁶

We calculate (1 + 0.035)^66 using a calculator:
(1 + 0.035)⁶⁶ ≈ (1.035)⁶⁶ ≈ 9.682

So the final balance is:
A ≈ 1600 * 9.682 ≈ 15491.2

The closest answer to our computed value is:
D. $15,494.70

Hence, the answers are:
1. B. 5.76 x 10¹⁴ miles
2. D. $15,494.70


Rachel is selling T-shirts. It costs her $5 each week to advertise her T-shirts. She buys each T-shirt for $3.50 and sells each one for $8.00. Write an equation to model the amount of profit, P, she makes from selling x T-shirts in one week.

P = 3.50x − 5
P = 8x − 3.5
P = 5x + 3.5
P = 4.5x − 5

Answers

net profit from selling one t-shirt=(8-3.5=$4.5)
so
P=4.5x-5

PLEASE HELP
8.07a, part 1


1. Find the vertex, focus, directrix, and focal width of the parabola. (1 point)
negative 1 divided by 40 x squared equals y


A) Vertex: (0, 0); Focus: (0, -10); Directrix: y = 10; Focal width: 160
B) Vertex: (0, 0); Focus: (-20, 0); Directrix: x = 10; Focal width: 160
C) Vertex: (0, 0); Focus: (0, -10); Directrix: y = 10; Focal width: 40
D) Vertex: (0, 0); Focus: (0, 10); Directrix: y = -10; Focal width: 10

2. Find the standard form of the equation of the parabola with a focus at (0, -2) and a directrix at y = 2.

A)y2 = -2x
B) y2 = -8x
C) y equals negative 1 divided by 8 x squared
D) y equals negative 1 divided by 2 x squared

3. Find the standard form of the equation of the parabola with a focus at (-8, 0) and a directrix at x = 8.

A) y equals negative 1 divided by 32 x squared
B) y2 = 16x
C) 16y = x2
D) x equals negative 1 divided by 32 y squared

4. A building has an entry the shape of a parabolic arch 84 ft high and 42 ft wide at the base, as shown below.
A parabola opening down with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 84 feet and its width from left to right is 42 feet.


Find an equation for the parabola if the vertex is put at the origin of the coordinate system.


A) y2 = -21x
B) x2 = -21y
C) x2 = -5.3y
D) y2 = -5.3x

5. Find the center, vertices, and foci of the ellipse with equation x squared divided by 81 plus y squared divided by 225 equals 1 .

A) Center: (0, 0); Vertices: (-15, 0), (15, 0); Foci: (0, -9), (0, 9)
B) Center: (0, 0); Vertices: (0, -15), (0, 15); Foci: (-9, 0), (9, 0)
C) Center: (0, 0); Vertices: (0, -15), (0, 15); Foci: (0, -12), (0, 12)
D) Center: (0, 0); Vertices: (-15, 0), (15, 0); Foci: (-12, 0), (12, 0)

6. Find the center, vertices, and foci of the ellipse with equation 2x2 + 8y2 = 16.

A) Center: (0, 0); Vertices: the point zero comma negative two square root two and the point zero comma 2 square root two ; Foci: Ordered pair 0 comma negative square root 6 and ordered pair 0 comma square root 6
B) Center: (0, 0); Vertices: (-8, 0), (8, 0); Foci: Ordered pair negative 2 square root 15 comma 0 and ordered pair 2 square root 15 comma 0
C) Center: (0, 0); Vertices: (0, -8), (0, 8); Foci: Ordered pair 0 comma negative 2 square root 15 and ordered pair 0 comma 2 square root 15
D) Center: (0, 0); Vertices: the point negative square root six comma zero and the point square root six comma zero ; Foci: Ordered pair negative square root 6 comma 0 and ordered pair square root 6 comma 0

7. Graph the ellipse with equation x squared divided by 36 plus y squared divided by 49 equals 1 .

A) A horizontal ellipse is shown on the coordinate plane centered at the origin with vertices at the point negative seven comma zero and the point seven comma zero. The minor axis has endpoints at zero comma six and zero comma negative six.
B) A vertical ellipse is shown on the coordinate plane centered at the origin with vertices at the point zero comma seven and zero comma negative seven. The minor axis has endpoints at negative six comma zero and six comma zero.
C) A horizontal ellipse is shown on the coordinate plane centered at (6, 7) with vertices at (–1, 7) and (13, 7) and minor axis endpoints at (6, 13) and (6, 1).
D) A horizontal ellipse is shown on the coordinate plane centered at the point six comma seven with vertices at the point negative one comma seven and thirteen comma seven. The minor axis has endpoints at six comma thirteen and six comma one.

8. Find an equation in standard form for the ellipse with the vertical major axis of length 10 and minor axis of length 8.

A) x squared divided by 25 plus y squared divided by 16 equals 1
B) x squared divided by 5 plus y squared divided by 4 equals 1
C) x squared divided by 4 plus y squared divided by 5 equals 1
D) x squared divided by 16 plus y squared divided by 25 equals 1

9. Find the vertices and foci of the hyperbola with equation quantity x plus 5 squared divided by 36 minus the quantity of y plus 1 squared divided by 64 equals 1 .

A) Vertices: (-1, 3), (-1, -13); Foci: (-1, -13), (-1, 3)
B) Vertices: (3, -1), (-13, -1); Foci: (-13, -1), (3, -1)
C) Vertices: (-1, 1), (-1, -11); Foci: (-1, -15), (-1, 5)
D) Vertices: (1, -1), (-11, -1); Foci: (-15, -1), (5, -1)

Answers

Note: Please refer to the attached file for the explanation.

Answers:

1. None from the choices, it should be

Vertex: (0, 0); Focus: (0, -10); Directrix: y = 10; Focal width: 10

2. C) y equals negative 1 divided by 8 x squared

3. D) x equals negative 1 divided by 32 y squared

4. C) x2 = -5.3y

5. C) Center: (0, 0); Vertices: (0, -15), (0, 15); Foci: (0, -12), (0, 12)

6. None from the choices, it should be

Center: (0, 0); Vertices: the point negative two square root two comma zero and the point 2 square root two comma zero; Foci: Ordered pair negative square root 6 comma zero and ordered pair square root 6 comma zero

7. B) A vertical ellipse is shown on the coordinate plane centered at the origin with vertices at the point zero comma seven and zero comma negative seven. The minor axis has endpoints at negative six comma zero and six comma zero.

8. D) x squared divided by 16 plus y squared divided by 25 equals 1

9. D) Vertices: (1, -1), (-11, -1); Foci: (-15, -1), (5, -1)

Answer:

the answer is letter C

Step-by-step explanation:

1. What is the value of x?

sin(x+22)°=cos(2x−7)°

2.Given cosx=1213 and sinx=513

.

What is ratio for ​ tanx

​ ?

leave answer as a fraction in simplest form

Answers

Part 1)
sin(x+22)°=cos(2x−7)°

we know that

 the  sine and cosine  are co-functions

So

sin (theta) = cos (90 - theta)------> This implies that  the angles sum to 90°

therefore

( x + 22)  + (2x - 7)  =  90    simplify

3x + 15  = 90     subtract  15 from both sides

3x  =  75      divide both sides by 3

x  = 25

 The answer Part 1) is x=25°

 Part 2) Given cos x=12/13 and sin x =5/13

What is ratio for ​ tanx ​ ?

 we know that

tan x = sinx / cos x

tan x  =   (5/13) / (12/13)   =  (5/13) * (13/12)  =  5/12

the answer Part 2) is 5/12

In the figure, TR−→− and TV−→− are secants to circle A. mRV=99∘ mSU=45∘ What is the measure of ∠RTV ? Enter your answer in the box.

Answers

The answer is 27 I just took the test and it was correct.

The stem-and-leaf plot shows the number of home runs hit by the top major league baseball players in the 2000 season. stem leaf 3 0 0 0 0 1 1 1 1 1 1 1 2 2 2 3 3 4 4 4 5 5 5 6 6 6 7 7 8 8 9 4 0 1 1 1 1 2 2 3 3 3 4 4 7 7 9 5 0 3⏐0 ? 30 what is the probability that one of these players picked at random hit more than 35 home runs

Answers

first count the number of players then count the number of players with more than 35 home runs.
the probability is number of players with more than 35 home runs divided by number of players

Three survey markers are located on a map at points H, I, and J. A triangle is formed by connecting these markers by string so that HI = 150 feet, HJ = 245 feet,and IJ = 365 feet.

Which statement is true about the measures of the angles of TriangleHIJ?

f m∠I is the largest
g m∠H is the largest
h m∠H is the smallest
j m∠I is the smallest

Answers

Hello,

In a triangle,
to the longest side is opposed the bigest angle
==>answer g :  m∠H is the largest

The measure of the side IJ is the longest one so the largest angle is ∠H. Then the correct option is B.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

Three survey markers are located on a map at points H, I, and J. A triangle is formed by connecting these markers by string so that HI = 150 feet, HJ = 245 feet, and IJ = 365 feet.

If the side is the largest one then its opposite angle will be the largest one.

The measure of the side IJ is the longest one so the largest angle is ∠H. Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

The tangent ratio compares the length of what to the length of what

Answers

By definition in a triangle with a right angle, the tangent compares two of its sides:
 Tanx = (C.O) / (C.A)
 Where,
 x: angle
 C.O: Opposite leg.
 C.A: Adjacent leg.
 Therefore the tangent compares the length of the opposite leg with the length of the adjacent leg.
 Answer:
 the tangent compares the length of the opposite leg with the length of the adjacent leg
 Tanx = (C.O) / (C.A)

All my smart people​ click here

Answers

Okay, I'm here for ya!
What do you need help with? It is correct "If you burn [...] 0.02 mols of propane 44kj of energy [...] released"

What's the problem here?

Edit: "For each gram of propane burned, 50 kJ of energy is released" maybe?

The picture below shows a portion of a river dam:

Which of the following can be used to calculate the height of the river dam? (6 points)

220 cos 40°
220 divided by tan 40 degrees
220 sin 40°
220 divided by cos 40 degrees

Answers

Hello,

If you are starting with the angle of 40 degrees, you have an adjacent side and hypotenuse. Therefore, it is a cosine relationship.

We can write:

cos(40) = adj / hyp
cos(40) = x / 220

To solve for x, simply multiply 220 by the cos(40).
You can write it as:  220 cos(40)

Good luck,
MrEQ

Answer:

220cos40

Step-by-step explanation:

cos40=x/220

(220)cos40=x/220(220)

220cos40=x



An amount of $27,000 is borrowed for 11 years at 8.25%
interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Use the calculator provided and round your answer to the nearest dollar.

Answers

There is a formula for calculating the TOTAL amount paid for a loan. (See attached).
r = monthly loan rate = 8.25 / 1,200 = 0.006875
p = principal = 27,000
n = number of payments = 11 years*12 months = 132
TOTAL Loan Cost = 0.006875 * 27,000 * 132 / 1 -(1.006875)^-132
TOTAL Loan Cost = 24,502.5 / (1 - 0.4047868312 )
TOTAL Loan Cost = 24,502.5 / 0.5952131688
TOTAL Loan Cost = 41,165.92


please help 1. another term for adding money to an account is
A) additional
B) submission
C) contribute
D) payment


2. which situation allows you to have the most saved
A) having a set amount set aside for savings each time you are paid
B) having a set minimum or percentage for saving whichever is greater
C) having a percentage set aside for savings
D) having a percentage set aside for savings when your pay is higher and hours are more

Answers

Payment. While payment is the sum of money paid in exchange for something either goods and services; the money can be credited (or added) into an account directly without making direct payment. We can also credit our account which is also payments. The most efficient way of building a savings is having a set minimum or percentage for saving whichever is greater. Sometimes we may need to save more than our "set minimum" especially when we earn more. The higher we earn the more our set minimum pales in comparison to what we ought to save. On the other hand if we have a set percentage it would also need to be raised higher when we earn more, but saving whichever is greater ensures that we make the best and most efficient savings decision at any period in time.
Answer:

1. Another term for adding money to an account is - contribute

One should contribute to his account. This phrase means, one should add money to his account. Contribution is addition of money in account.

2. Which situation allows you to have the most saved ?

A) having a set amount set aside for savings each time you are paid- this can be the most possible answer. Technically a person should save 20% to 25% of his income and this amount increases with income. So, each time when you are paid, set aside the savings amount.

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