50 Points + 50 points +

1. Find the measurements of DE

2. Find the lengths of BC EC

3. Find the 1) width, 2) height only workings.

Do not need perimeter or area for question 3. So just need exact workings

for 1, 2 and 3 width and height parts.... if answering questions.

50 Points + 50 Points +1. Find The Measurements Of DE2. Find The Lengths Of BC EC3. Find The 1) Width,
50 Points + 50 Points +1. Find The Measurements Of DE2. Find The Lengths Of BC EC3. Find The 1) Width,

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

Angle ACE = DCE since they are vertical angles

Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles

Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles

When all three angles are equal, the triangles are similar.

We can use ratios to find DE

DE         CE  

------- = ----------

AB           AC

DE         8

------- = ----------

12           10

Using cross products

10 DE = 8*12

10 DE = 96

Divide by 10

DE = 9.6

2nd problem

Angle ADE is congruent to ABC  because corresponding angles are conguent  when parallel lines cut by a transversal

Angle AED is congruent to ACB  because corresponding angles are conguent  when parallel lines cut by a transversal

Angle A equals angle A  by the reflexive property

When all three angles are equal, the triangles are similar.

We can use ratios to find BC

AD         DE 

------- = ----------

AB           BC

8            5 

------- = ----------

8+6           BC

Using cross products

8 BC = 5 (14)

8 BC =70

Divide each side by 8

BC =8.75

We can use ratios to find EC

AD         AE 

------- = ----------

AB           AC

8            4.2 

------- = ----------

8+6           4.2+EC

Using cross products

8 (4.2+EC) = 4.2*14

33.6 +8EC = 58.8

Subtracting 33.6

8EC =25.2

Dividing by 8

EC =3.15


Related Questions

what is 2/5 - 1/3 = ?

Answers

Answer:

1/15

Step-by-step explanation:

1/15 I believe, I mean like just subtract

Which of the following are not terms in the series below? Check all that apply.

Answers

Answer:

the answer is A and B on edg

Step-by-step explanation:

Answer:

1/3 and 1/2

Step-by-step explanation:

hope this helps :)

What is the type of fee charged for withdrawing money from a CD before the
date of maturation?
O
O
O
A. FDIC fee
B. Early redemption fee
C. Liquidity fee
SUBMIT
PREVIOUS

Answers

Answer: early redemption fee

Step-by-step explanation:

The type of fee charged for withdrawing money from a CD before the date of maturation is Early redemption fee.

We have to determine the type of fee charged for withdrawing money from a CD before the date of maturation.

We have given

A. FDIC fee

What is the FDIC fee?

It required the largest taxpayer bailout in the year 2008 financial crisis, explained in a footnote on its schedule of fees for business accounts in the nation's  states that it charges an FDIC insurance fee at the annual rate of 13 cents per $100.

It related to insurance so it is not correct option.

B. Early redemption fee

The fee  may be required to make to a lender if we pay off a loan or mortgage before the scheduled term of the credit facility.

So the Banks and credit unions often charge a fee if you withdraw money before maturity.

Therefore the Option B is correct.

C. Liquidity fee

This is nothing but the  liquidity facility providers that the borrower may from time to time agree to pay.

Therefore this is not correct option

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Mateo has two fish tanks that have different volumes.
He wants to use the tank that can hold the greatest
amount of water. Which tank should he use, and why?
Mateo should use
The correct answer was tank:B

Answers

Answer: Tank B, because it has the greatest volume

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I don't really know, but his fish needs more space to move around, like all fish tanks.

Can someone help me please

Answers

With what



Can you answer that

450 is shared between two workers John and Andrew if John gets 50 more than Andrew how much does John get ​

Answers

Answer:

john gets 274

Step-by-step explanation:

150 divided by 2 = 225

add 50 to johns amount and you get 275

Answer:

250$

Step-by-step explanation:

250-50=200

200+250=450

What is the probability of rolling a 2 on a dice AND pulling a spade out of a deck of
cards?
1/6
1/12
1/10
1/24

Answers

1/24 because you have a 1/6 chance of rolling a 2 and a 1/4 chance of pulling a spade and when multiplied you get 1/24

Hey help me out with this question ive been stuck on it for a while Thank youu.

Answers

Answer:

A=B

6x+18=x+93

5x=75

x=15

B=x+93

B=15+93

B=108

Step-by-step explanation:

Answer: I don't know

Step-by-step explanation: add all those probely

find the solution for the system of linear equations by substitution: y = x. y = 2x - 4

Answers

Answer:

y= 4

Step-by-step explanation:

The answer would be Y=4

Roberto decorates rectangular signs. One sign is 2/3 foot long and 1/4 foot wide. Another sign is 1/2 foot long and 1/3 foot wide. It takes Roberto 3/4 hour to decorate a 1-square-foot sign. What is the total amount of time, in hours, it takes Roberto to decorate both signs. Show or explain each step you used to find your answer​

Answers

Answer: It takes Him 1/4 hours to decorate both signs,

Step-by-step explanation:

Hi, since the area of a rectangle is equal to:

Area: length x width

Replacing with the values given;

Sign 1 =A1 = 2/3 x 1/4 =1/6 ft2

Sign 2 =A2= 1/2 x 1/3 = 1/6 ft2

If we sum both areas:

A1 +A2 = 1/6 + 1/6 = 2/6 ft2 = 1/3 ft2 (total area)

Since it takes Roberto 3/4 hour to decorate a 1-square-foot sign:

For 1/3 ft2

3/4 hour x 1/3 ft2 = 1/4 h

ITt takes Him 1/4 hours to decorate both signs,

It takes Roberto 1/4 hour to decorate both signs.

To find the total amount of time it takes Roberto to decorate both signs, we need to calculate the area of each sign first and then determine the time required for each based on the given rate of 3/4 hour per 1 square foot.

1: Calculate the area of each sign

First sign: The dimensions are 2/3 foot long and 1/4 foot wide. The area (A) is length × width.
A1 = (2/3) × (1/4) = 2/12 = 1/6 square foot.Second sign: The dimensions are 1/2 foot long and 1/3 foot wide. The area (A) is length × width.
A2 = (1/2) × (1/3) = 1/6 square foot.

2: Calculate the total area of both signs

Total area (Atotal) = A1 + A2 = 1/6 + 1/6 = 2/6 = 1/3 square foot.

3: Calculate the total time to decorate both signs

It takes Roberto 3/4 hour to decorate 1 square foot. So, for 1/3 square foot:
Time = (3/4) × (1/3) = 1/4 hour.

Therefore, it takes Roberto 1/4 hour to decorate both signs.

A plumber has a piece of pipe that is 5-meter long. He needs to cut it into sections that are 10
centimeters long.
How many sections will he be able to cut?
Complete the explanation about how you found your answer.
It can be cut into
sections.
5 meter(s) is equal to
x 100 cm =
cm.

Answers

The plumber able to cut the 5-meter long pipe into 50 sections, each measuring 10 centimeters.

To find the number of sections the plumber  able to cut from a 5-meter long pipe, to convert the length to centimeters.

That 1 meter is equal to 100 centimeters. So, to convert 5 meters to centimeters, multiply 5 by 100:

5 meters × 100 centimeters/meter = 500 centimeters

Now that the length of the pipe in centimeters (500 cm), divide it by the desired length of each section, which is 10 centimeters:

500 centimeters / 10 centimeters/section = 50 sections

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Factor completely 16x4 − 81.

(2x − 3)(2x − 3)(4x2 + 9)
(2x − 3)(2x + 3)(4x2 + 9)
(2x − 3)(2x + 3)(4x2 − 9)
(2x + 3)(2x + 3)(4x2 + 9)

Answers

From factoring rules for the difference of squares, it is possible rewrite the equation [tex]16x^4-81[/tex] as (2x-3)(2x+3(4x²+9).

Factoring

In math, the factoring or factorization is used to write an algebraic expression in factors.

The question gives a polynomial and asks your respective factorization. Note that [tex]16x^4-81[/tex] is a difference of squares. The factoring rules shows that the difference of squares: a² – b² = (a – b)(a + b).

If [tex]16x^4-81[/tex] is a difference of squares. You can rewrite this expression as:

[tex]16x^4-81=(4x^2-9)(4x^2+9)[/tex].

Again, you have another difference of squares: 4x²-9. You can rewrite this expression as: 4x²-9= (2x+3)(2x-3).

Hence, [tex]16x^4-81=(2x-3)(2x+3)(4x+9)[/tex].

Learn more about the factoring here:

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Final answer:

The expression 16x^4 − 81 is a difference of squares and can be factored completely into (2x + 3)(2x − 3)(4x^2 + 9).

Explanation:

The student has asked to factor the expression 16x4 − 81 completely. This expression is a difference of squares, where 16x4 is the square of 4x2, and 81 is the square of 9. According to the difference of squares formula, a2 − b2 can be factored into (a + b)(a - b). Therefore, 16x4 − 81 can be factored as:

(4x2 + 9)(4x2 − 9)

Next, observe that 4x2 − 9 is another difference of squares, which can be further factored into (2x + 3)(2x − 3). Combining these factors, we get the completely factored expression:

(2x + 3)(2x − 3)(4x2 + 9)

Can someone help me please for nth term?

Answers

Answer:

Step-by-step explanation:

23) a) n - (n+1)

Remove the parenthesis by multiplying (n+1) by (-1)

n - (n+1) = n - n - 1 = -1

b) n(n+1) = n*n + n*1

              = n² + n

c) When we are adding the two numbers it is,

n² + n - 1. This will always be odd because n² + n will always be even and when we subtract 1 from that it will be odd

Example: Take n = 3

n² + n =  3*3 + 3 = 9 + 3 =12; So, n² + n -1 = 12- 1 =11 --> odd

When n = 7

n² + n = 49 + 7 = 56 ; So, n² + n -1 = 56-1 = 55 ---> odd

When n =8

n² + n = 64 + 8 = 72;  So, n² + n -1 = 72 -1 = 71

When n = 16

n² + n = 256 +16 = 272 ; So, n² + n - 1 = 272 - 1 = 271 ----->odd

Maria has 56.20 feet of ribbon to use for a border around a rectangular bulletin board in her
classroom. The board is 4.47 feet tall and 7.25 feet wide. How many feet of ribbon will Maria
have left after she puts the border around the bulletin board?

Answers

Answer:

32.76 ft

Step-by-step explanation:

step 1

Find the perimeter of the rectangular bulletin board

The perimeter of rectangle is given by

[tex]P=2(W+H)[/tex]

where

W is the width

H is the height

we have

[tex]W=7.25\ ft\\H=4.47\ ft[/tex]

substitute

[tex]P=2(7.25+4.47)=23.44\ ft[/tex]

step 2

Subtract the perimeter from the total feet of ribbon

so

[tex]56.20-23.44=32.76\ ft[/tex]

The following table shows the number of heart beats for 4 animals. For example, the pig's heart beats 225
times in 3 minutes.
Animal
Heartbeats
Minutes
Pig
225
Horse
180
Cow
520
Dog
540
Which animal's heart beats at a rate of 65 beats per minute?

Answers

Answer:

none of the above
unless you typed one of them wrong all you have to do is divide each one by 3 and see which one gives you 65

Answer:

The cow's heart beats at 65 beats per minute

Step-by-step explanation:

To solve the per minute, take the total heartbeat number and divide it by the amount of minutes like so:

Pig: [tex]\frac{225}{3}[/tex]

Horse: [tex]\frac{180}{4}[/tex]

Cow: [tex]\frac{520}{8}[/tex]

Dog: [tex]\frac{540}{6}[/tex]

Now all that you have to do is simplify them to get the following values:

Pig: 75 beats per minute

Horse: 45 beats per minute

Cow: 65 beats per minute

Dog: 90 beats per minute

true or false: the arrows on the opposite side of a parallelogram show that the sides are congruent

Answers

Answer:

false

Step-by-step explanation:

If a = 2 and b = 8, what is the value of the following expression?
8 divided by a + 4 x b

*The answer is not 19*

Answers

Answer:

36

Step-by-step explanation:

a = 2

b = 8

8 : a + 4 × b

= (8 : 2) + (4 × 8)

= 4 + 32

= 36

Identify the value of r and a1 for each geometric
series.
2 + 3 + 4.5+ 6.75 + ...

Answers

Given:

The given geometric series is [tex]2 + 3 + 4.5+ 6.75 + ...[/tex]

We need to determine the value of r and a₁

Value of a₁:

The term a₁ denotes the first term of the geometric series.

Hence, from the given series, the first term of the series is 2.

Thus, a₁ = 2.

Therefore, the value of a₁ is 2.

Value of r:

The term r denotes the common ratio between the terms in the geometric series.

The value of r is given by

[tex]r=\frac{3}{2}=1.5[/tex]

[tex]r=\frac{4.5}{3}=1.5[/tex]

[tex]r=\frac{6.75}{4.5}=1.5[/tex]

Thus, the value of r is 1.5

Answers:

1) 1.5 , 2

2) 0.5 , 8

explanation:

just did this :)

Mary and Sam need to plant 198 trees. If Mary can plant 12 trees in 5 hours and Sam can plant 14 trees in 7 hours
how long would it take them if they worked together?

steps ?

Answers

Answer:

Step-by-step explanation:

so you wanna first add the hours

12

then add the number of trees painted in that number of hours

26

do 198 divided by 26

7.62( rounded to the nearest hundredth)

then take that product and multiply it by 12

91( rounded to the nearest one)

tha'ts your answer: 91 days

Find the circumferences of the two circles. Circle A has a radius of 21 meters and Circle B has a radius of 28 meters. Use pencil and paper. Is the relationship between the radius of a circle and the distance around the circle the same for all​ circles? Explain. The circumference of Circle A is nothing meters.

Answers

Answer:

Circumference of Circle A=131.95mCircumference of Circle B=175.93m

Step-by-step explanation:

Given two circles A and B

Circumference of a circle =[tex]2 \pi r[/tex]Radius of Circle A=21 meters

        Circumference of Circle A[tex]=2*21*\pi=42\pi=131.95m[/tex] meters

Radius of Circle B=28 meters

        Circumference of Circle B[tex]=2*28*\pi=56\pi=175.93m[/tex] meters

The larger the radius of a circle, the larger the circumference. We notice that the radius of circle B is larger so its circumference is also larger.

Answer:

Step-by-step explanation:

its actually 42π

As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions shown. Abigail sloshes 2/3 of the water out of her cup before she gets a chance to drink any. What is the volume of water remaining in Abigail's cup?

Answers

Since there's no diagram. Let us calculate using the values in the attached file to aid the comprehension of what is expected of you.

Answer:

44.657cm^3

Step-by-step explanation:

Please kindly check the attached file for more

Answer:

Step-by-step explanation:

first the equation for a cone is [tex]\pi r^2\frac{h}{3}[/tex]

[tex]V=\pi *3^{2} *\frac{8}{3} \\ =\pi *9*\frac{8}{3} \\ =\frac{72}{3} \pi \\ =24\pi[/tex]

so since Abigail spilled 2/3 of the water then you do

[tex]24\pi * \frac{1}{3}\\ =8\pi[/tex]

so overall the volume of the remaning water is 8π.

If Chickens lay about 12 eggs about every 4 days how many will they lay in 1 year 2 months and 3 days?

Answers

Answer:

1284 Eggs

Step-by-step explanation:

To work this out you would first have to know how many days there are in a year, which is 365. Then you would need to add the amount of days in January and February. January has 31 days and February would have 29, and so 29 plus 31 is 60. Then you would add 60 to 365, which is 425. Then you would add 3 to 425, which is 428. Then you would divide 428 by 4, which is 107. Then you would multiply 107 by 12, which is 1284.

1) Find out how many days there are in a year.

There are 365 days in a year

2) Add 31 to 29.

[tex]31+29=60[/tex]

3) Add 60 to 365.

[tex]365+60=425[/tex]

4) Add 3 to 425.

[tex]425+3=428[/tex]

5) Divide 428 by 4.

[tex]428/4=107[/tex]

6) Multiply 107 by 12.

[tex]107*12=1284[/tex]

The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude is given R = 0.67log(0.37E) + 1.46 where E is the energy (in kilowatt hours) released by the earthquake. If an earthquake release 1,770,000 kilowatt hours of energy, what is the earthquake's magnitude?

Answers

Answer:

R=3.897

Step-by-step explanation:

Given the magnitude measured by the Ritcher scale is given as;

R = 0.67log(0.37E) + 1.46  where E= is the energy (in kilowatt hours)

If E=1,770,000 then

R= 0.67log(0.37*1770000)

R=0.67log(654900)

R=0.67*5.81617

R=3.897

Final answer:

To determine the magnitude of an earthquake that released 1,770,000 kilowatt hours of energy using the Richter scale formula, the calculated magnitude is approximately 5.51.

Explanation:

The Richter scale is used for measuring the magnitude of an earthquake. Given the Richter magnitude formula

R = 0.67log(0.37E) + 1.46

where E is the energy (in kilowatt hours) released by the earthquake, we can calculate the magnitude of an earthquake that released 1,770,000 kilowatt hours of energy.

First, substitute the given energy value into the formula:

R = 0.67log(0.37*1770000) + 1.46.

Performing the calculation:

0.37 * 1,770,000 = 654,900

log(654,900) = 5.816

R = 0.67 * 5.816 + 1.46

R ≈ 5.51

Therefore, the earthquake's magnitude on the Richter scale is approximately 5.51.

Solve -6x + 19 = x-2. Check for extraneous solutions.

Answers

Answer:

x=3 one solution

Step-by-step explanation:

Let's solve your equation step-by-step.

−6x+19=x−2

Step 1: Subtract x from both sides.

−6x+19−x=x−2−x

−7x+19=−2

Step 2: Subtract 19 from both sides.

−7x+19−19=−2−19

−7x=−21

Step 3: Divide both sides by -7.

−7x /−7  =  −21 /−7

x=3

Answer:

x = 3

Step-by-step explanation:

Solve -6x + 19 = x-2

Solve for x:

19 - 6 x = x - 2

Subtract x from both sides:

19 + (-6 x - x) = (x - x) - 2

-6 x - x = -7 x:

-7 x + 19 = (x - x) - 2

x - x = 0:

19 - 7 x = -2

Subtract 19 from both sides:

(19 - 19) - 7 x = -19 - 2

19 - 19 = 0:

-7 x = -19 - 2

-19 - 2 = -21:

-7 x = -21

Divide both sides of -7 x = -21 by -7:

(-7 x)/(-7) = (-21)/(-7)

(-7)/(-7) = 1:

x = (-21)/(-7)

The gcd of -21 and -7 is -7, so (-21)/(-7) = (-7×3)/(-7×1) = (-7)/(-7)×3 = 3:

Answer: x = 3

PLEASE HELP 6th GRADE MATH ONE PROBLEM

Answers

Answer:

Step-by-step explanation:

[tex]\frac{-5}{4}+\frac{75}{40}+\frac{100}{100}=\frac{-5}{4}+\frac{75}{40}+1\\\\=\frac{-5*10}{4*10}+\frac{75}{40}+\frac{1*40}{1*40}\\\\=\frac{-50}{40}+\frac{75}{40}+\frac{40}{40}\\\\=\frac{-50+75+40}{40}\\\\=\frac{65}{40}\\\\=\frac{13}{8}\\\\=1.625[/tex]

The probability of winning the shell games if you randomly pick is 1 in 3. What would be the approximate probability of winning 4 games in a row?

Answers

Answer:

1 /81

Step-by-step explanation:

1/3 * 1/3 * 1/3 * 1/3 (One for each game) = 1/81

This question is based on the probability. Therefore, the approximate probability of winning 4 games in a row is [tex]\dfrac{1}{81}[/tex].

Given:

The probability of winning the shell games if you randomly pick is 1 in 3.

We need to calculate the approximate probability of winning 4 games in a row.

According to the question,

By using the formula of probability,

[tex]Probability = \dfrac{Number \, of \, favourable \, outcome}{Total \, number \,of\, Outcome}[/tex]

It is given that,  probability of winning is 1 in 3.

Now, calculating the approximate probability of winning 4 games in a row is,

[tex]\dfrac{1}{3} \times\dfrac{1}{3} \times \dfrac{1}{3} \times \dfrac{1}{3} = \dfrac{1}{81}[/tex]

Therefore, the approximate probability of winning 4 games in a row is [tex]\dfrac{1}{81}[/tex].

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Identify the pair of angles as complementary, supplementary, or neither.







A.
supplementary

B.
complementary

C.
neither

Answers

B. complementary because 126+54= 180°

Answer:

B

Step-by-step explanation:

hope this helps

stay safe

brainliest is appreciated. :))))

Find the area of the shaded region. Round to the nearest tenth.

Answers

Answer: 9.3

Step-by-step explanation:

Find the number in the tenth place 2 and look one place to the right for the rounding digit 8. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

Answer:

11.6

Step-by-step explanation:

Which statements are true for the following expression?
(9 + 1) · 5
Check all that are true.

The solution is the product of two factors.

The first factor is itself the product of two terms.

The solution is the sum of two terms.

The second factor is itself the sum of two terms.

The first factor is itself the sum of two terms.

Answers

Answer: the solution is the product of two factors

The statements that follows the Expressions are:

The solution is the product of two factors.

The first factor is itself the sum of two terms.

What are Factors?

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

We can describe this expression as the product between a 5 and the sum of two 9 and 1, that is, the second factor is a sum of two terms, this means option A is a true statement.

As a product, the solution of this expression is the solution of that product, however, we first have to sum both terms inside the parenthesis, like this

= (9 + 1)5

= 10(5)

= 50

So, the statements that follows the Expressions are:

The solution is the product of two factors.

The first factor is itself the sum of two terms.

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NEED SOMEONE WITH BIG BRAINS
Imagine we have a piece of string 25,000 miles long, just long enough to exactly circle the globe at the equator. We take the string and fit it snugly around the equator, over oceans, deserts and jungles. When we have completed our task, we find that the string is just one yard too long. To overcome the error, we decide to tie the ends together and to distribute the extra 36 inches evenly over the entire 25,000 miles, figuring that it will never be noticed. How far do you think the string will stand off from the ground at each point, merely by virtue of the fact that it is 36 inches (3 feet) too long? Explain your answer.

Answers

Answer: just an extra one foot

Step-by-step explanation:

Given that the length of the piece of string = 25,000 miles

 Since the string is long enough to exactly circle the globe at the equator over oceans, deserts and jungles. We can say that the string could completely circle a sphere

Assuming that the earth is a perfect sphere.

The circumference of the circle = 25,000 mile.

But note that the circumference of a circle is directly proportional to the radius. If you double the radius, the circumference will also be doubled. Half the circumference, half the radius. Increase the circumference by 30%, radius will also be increased by 30% and so on.

In this question, the radius is being increased by 3 feet, so we need to know that as a fraction of the original radius.

Circumference = 2πr

Let's also convert miles to feet

25000 × 5280 = 2(3.143)r

r = 132 × 10^6/2π

r = 21008452.5 feet

3 feet - that's how far off the ground we're lifting the string out of 21008452.5 feet is close to one part in 25000 miles. The string was 132000000 feet long to start with, so we need just an extra 1 foot.

Other Questions
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