The measures of the angles in A ABC are given by the expressions in the table
Angle
Measure
(3x - 10)
(2x)
Find the value of x. Then find the mZB and mZC
Enter your answers in the boxes.
mZB=
0
mZC=

The Measures Of The Angles In A ABC Are Given By The Expressions In The TableAngleMeasure(3x - 10)(2x)Find

Answers

Answer 1

Answer:

3x

Step-by-step explanation:

Answer 2

Using the triangle sum theorem the following are the missing values:

x = 25

m∠B = 65°

m∠C = 50°

What is the Triangle Sum Theorem?

According to the triangle sum theory, all the interior angles of a triangle will add up to 180 degrees.

Given:

m∠A = 65°

m∠B = (3x - 10)°

m∠C = (2x)°

Therefore:

65 + 3x - 10 + 2x = 180

Combine like terms

55 + 5x = 180

5x = 180 - 55

5x = 125

x = 125/5

x = 25

m∠B = (3x - 10)° = 3(25) - 10 = 65°

m∠C = (2x)° = 2(25) = 50°

Therefore, using the triangle sum theorem the following are the missing values:

x = 25

m∠B = 65°

m∠C = 50°

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Related Questions

Given the function, f(x)= square root 3x+3+3, choose the correct transformation(s).

Answers

Answer: horizontal stretch, left 3,up 3

Step-by-step explanation: you guys are welcome! And be blessed

Andrew draws triangle ABC. He then constructs a perpendicular bisector from vertex A that intersects side BC at point D. What can Andrew conclude, based on his drawing?

AB = BC
BD = DC
AD = BC
AC = BC

Answers

Answer:

BD = DC

Step-by-step explanation:

A perpendicular bisector is a line segment that goes form a vertex to its opposite side. The important characteristic is that a perpendicular bisector intersects the opposide at the mid point and with a right angle, that's why is called perpendicular and bisector.

So, Andrew can conclude that side BC is divide equally, that is, BD = DC.

Therefore, the right answer is the second choice.

Based on the given information after drawing the triangle Andrew can conclude only  BD = DC.

Use the concept of triangle defined as:

A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

Given that,

Andrew draws triangle ABC.

He constructs a perpendicular bisector from vertex A.

The perpendicular bisector intersects side BC at point D.

Based on Andrew's drawing,

He can conclude that BD is equal to DC.

The perpendicular bisector from vertex A divides side BC into two equal parts, making BD and DC congruent.

However, Andrew cannot conclude that AB is equal to BC,

AD is equal to BC, or AC is equal to BC based on the given information.

Hence,

For this triangle Andrew can conclude only BD = DC.

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A triangle has sides of length 7, 10, and s. Write an equation representing the perimeter p of the triangle

Answers

Answer:

7(2+10)

14+10

=26 is the perimeter

S=7

Hope this helped

Step-by-step explanation:

Answer:

P=7+10+s

The perimeter is the length of all sides, so add 7, 10, and s to get p!

Hope this comes to help someone!

Help please thank you

Answers

Answer:

a^-7

Step-by-step explanation:

you would subtract the powers

-13 - -6 = -7

Answer:

1/a^19 (1 over a to the 19th power)

Step-by-step explanation:

when you divide, you subtract the exponents. -13 minus -6 is -19. when its a negative, you put it positive over 1. hope this helps :)

work:

a^-13/a^-6= a^-19

a^-19 --> 1/a^19

*****this is wrong, answer is 1/a^7

If 3/4 pound of broccoli is priced at $2.09 per pound, what is the price?

Answers

Answer:

$1.57

Step-by-step explanation:

2.09 × 3/4 = 1.5675, rounded to 1.57

Answer:

I believe the answer is $1.57 about. The answer is longer but that is rounded.

Step-by-step explanation:

I just did 3/4 times 2.09 and got 1.57 because if a whole pound is 2.09 then 3/4 times the whole pound would give you 3/4 of the price.

Calculate the reciprocal of -0.07,correct to one decimal place

Answers

The reciprocal of the given decimal number -0.07 is decimal number -14.3.

The given decimal number is -0.07.

The reciprocal of any quantity is, one divided by that quantity. For any number ‘a’, the reciprocal will be [tex]\frac{1}{a}[/tex]. If the given number is multiplied by its reciprocal, we get the value 1.

The given decimal written in fraction as [tex]-\frac{7}{100}[/tex].

Reciprocal of [tex]-\frac{7}{100}[/tex] is [tex]-\frac{100}{7}[/tex]

[tex]-\frac{100}{7}=-14.285[/tex]

[tex]\approx-14.3[/tex]

Therefore, the reciprocal of the given decimal number -0.07 is decimal number -14.3.

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Final answer:

The reciprocal of -0.07, when rounded to one decimal place, is -14.3.

Explanation:

To calculate the reciprocal of any number, you simply divide 1 by that number.

The reciprocal of a number is the multiplicative inverse of that number.

In this case, for the number -0.07:

The reciprocal of -0.07 is calculated as follows:

Divide 1 by -0.07:

1/-0.07

= -100/7

= - 14.2857 which equals approximately -14.2857.

To round the result to one decimal place, we consider the first decimal digit after the point, which is 2. Since 2 is less than 5, we don't round up the preceding digit.

Round this number to one decimal place, giving us -14.3.

Therefore, the reciprocal of -0.07, correct to one decimal place, is -14.3.

Is the square root of 72 rational or irrational? Explain.​

Answers

Answer:

No, it is not rational.

Step-by-step explanation:

A rational number is a number that can be in the form p/q. where p and q are integers and q is not equal to zero.

irrational because it does not have one singular square root

A bale of hay in the shape of a rectangular prism has a length of 4 feet, a width of 2 feet, and a height of 2 feet. A cylindrical bale of hay has a diameter of 4 feet and a height of 6 feet. How many rectangular bales contain the same amount of hay as one cylindrical bale? Round your answer to the nearest tenth.

Answers

Answer:

2

Step-by-step explanation:

Answer:

About 4.7

Step-by-step explanation:

First Find the volume of the cylindrical bale.

V= π(r)^2*6

V=π(2)^2*6

V=π*4*6

V=π24

The answer is about 75.4

Now find the volume of the Rectangular Prism

V= w*h*l

V= 2*2*4

The answer is 16

Finally divide 75.4÷16 Which to the nearest tenth is 4.7.

p.s please correct me if I am wrong.

An element with a mass of 550 grams decays by 18.8% per minute. To the nearest minute, how long will it be until there are 60 grams of the element remaining

Answers

Answer:  11

Step-by-step explanation:

Exponential Functions:

y=ab^x

y=ab  

x

 

a=\text{starting value = }550

a=starting value = 550

r=\text{rate = }18.8\% = 0.188

r=rate = 18.8%=0.188

\text{Exponential Decay:}

Exponential Decay:

b=1-r=1-0.188=0.812

b=1−r=1−0.188=0.812

\text{Write Exponential Function:}

Write Exponential Function:

y=550(0.812)^x

y=550(0.812)  

x

 

Put it all together

\text{Plug in y-value:}

Plug in y-value:

60=550(0.812)^x

60=550(0.812)  

x

 

\frac{60}{550}=\frac{550(0.812)^x}{550}

550

60

​  

=  

550

550(0.812)  

x

 

​  

 

Divide both sides by 550

0.109091=0.812^x

0.109091=0.812  

x

 

\log 0.109091=\log 0.812^x

log0.109091=log0.812  

x

 

Take the log of both sides

\log 0.109091=x\log 0.812

log0.109091=xlog0.812

use power rule to bring x to the front

\frac{\log 0.109091}{\log 0.812}=\frac{x\log 0.812}{\log 0.812}

log0.812

log0.109091

​  

=  

log0.812

xlog0.812

​  

 

Divide both sides by log(0.812)

10.638757=x

10.638757=x

x\approx 11

x≈11

Answer:

x\approx 11

x≈11

In the expression shown below, q represents a fraction
6q
Which statement is true?

A. if q is 2/3, the value of the expression will equal a number less than 6
B. if q is 2/3, the value of the expression will equal a number greater than 6
C. if q is 3/2, the value of the expression will equal a number less than 6
D. if q is 3/3, the value of the expression will equal a number greater than 6



i really really need help with this question really fast please help!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Multiply 6 by 2/3 =4... Less than 6

Answer:

a is correct

Step-by-step explanation:

hope it help

Plot the given parabola on the axes. Plot the roots, the vertex and two other points.
y=−x2+2x+48

Answers

Final answer:

To plot the parabola y = -x² + 2x + 48, find the vertex at (1, 49), the roots at -6 and 8, and two additional points at (0, 48) and (2, 48). Then, plot these points on a graph and sketch the parabola.

Explanation:

To plot the given parabola y = -x² + 2x + 48, we must follow several steps:

Find the vertex. The formula for the x-coordinate of the vertex is -b/2a. In this equation, a = -1 and b = 2, so the x-coordinate is -2/-2 = 1. Substituting x = 1 into the equation gives us y = -12 + 2 * 1 + 48 = 49. So, the vertex is (1, 49). Find the roots. The roots are the x-values when y = 0. We solve -x2 + 2x + 48 = 0. Factoring the quadratic can give us the roots, but this equation doesn't factor nicely. We use the quadratic formula instead: x = [-b ± sqrt(b2 - 4ac)] / 2a = [-2 ± sqrt((2)2 - 4*(-1)*48)] / 2*(-1). This gives us two roots, -6 and 8. Choose two other points. Let's choose x = 0 and x = 2. When x = 0, y = 48. When x = 2, y = -22 + 2 * 2 + 48 = 48. So, the two other points are (0, 48) and (2, 48). Plot these points on a coordinate grid and draw the parabola.

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Find the volume of a solid generated by revolving the region bounded by the graphs of the equations about the y-axis. Y= 4(3-x), Y= 0, and X= 0.

Answers

Answer:

[tex]\displaystyle V = 36 \pi[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

GraphingCoordinates (x, y)FunctionsFunction NotationIntersection PointsExpand by FOIL

Calculus

Integrals

Area under the curve

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Volume of Revolution Formula [y-axis]:                                                               [tex]\displaystyle V = \pi \int\limits^b_a {r^2} \, dy[/tex]

Step-by-step explanation:

Step 1: Define

Identify

y = 4(3 - x)

y = 0

x = 0

Step 2: Redefine

Rewrite (Revolving around y-axis)

[Division Property of Equality] Divide 4 on both sides:                               [tex]\displaystyle \frac{y}{4} = 3 - x[/tex][Subtraction Property of Equality] Subtract 3 on both sides:                     [tex]\displaystyle \frac{y}{4} - 3 = -x[/tex][Division Property of Equality] Divide -1 on both sides:                             [tex]\displaystyle 3 - \frac{y}{4} = x[/tex]Rewrite:                                                                                                         [tex]\displaystyle x = 3 - \frac{y}{4}[/tex]

Step 2: Find Bounds of Integration

See attachment

Look at y-values, right to left.

Bounds: [0, 12]

Step 3: Find Volume

Substitute in variables [Volume of Revolution Formula]:                           [tex]\displaystyle V = \pi \int\limits^{12}_0 {(3 - \frac{y}{4})^2} \, dy[/tex][Integrand] Expand [FOIL]:                                                                           [tex]\displaystyle V = \pi \int\limits^{12}_0 {(\frac{y^2}{16} - \frac{3y}{2} + 9)} \, dy[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]:               [tex]\displaystyle V = \pi \bigg[ \int\limits^{12}_0 {\frac{y^2}{16}} \, dy - \int\limits^{12}_0 {\frac{3y}{2}} \, dy + \int\limits^{12}_0 {9} \, dy \bigg][/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]:               [tex]\displaystyle V = \pi \bigg[ \frac{1}{16} \int\limits^{12}_0 {y^2} \, dy - \frac{3}{2} \int\limits^{12}_0 {y} \, dy + 9 \int\limits^{12}_0 {} \, dy \bigg][/tex][Integrals] Integrate [Integration Rule - Reverse Power Rule]:                   [tex]\displaystyle V = \pi \bigg[ \frac{1}{16}(\frac{y^3}{3}) \bigg| \limits^{12}_0 - \frac{3}{2}(\frac{y^2}{2}) \bigg| \limits^{12}_0 + 9(y) \bigg| \limits^{12}_0 \bigg][/tex][Integrals] Evaluate [Integration Rule - FTC 1]:                                             [tex]\displaystyle V = \pi \bigg[ \frac{1}{16}(576) - \frac{3}{2}(72) + 9(12) \bigg][/tex][Brackets] Multiply:                                                                                       [tex]\displaystyle V = \pi [36 - 108 + 108][/tex][Brackets] Add:                                                                                             [tex]\displaystyle V = \pi [36][/tex]Multiply:                                                                                                         [tex]\displaystyle V = 36 \pi[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Applications of Integration

Book: College Calculus 10e

Simplify the following expression(1/5)(-5/7)(2/4)

Answers

Answer:

-1/14

Step-by-step explanation:

To simplify the expression, you should first divide up the parts to make it easier.  Multiply 1/5 by  -5/7 first.  When you multiply the two fractions, the fives cancel out since there is a five in both the numerator and the denominator.  This leaves us with just -1/7.

[tex]\frac{1}{5} *\frac{-5}{7} =\frac{-1}{7}[/tex]

Now, multiply -1/7 by 2/4.  Notice that you can simplify 2/4 to 1/2.  You can't cancel out anything in this expression so simply multiply the two fractions.

[tex]\frac{-1}{7} *\frac{1}{2} =-\frac{1}{14}[/tex]

I moved the negative sign from the numerator out front, but you don't have to do that.

Write an equation of the line that passes through point (-1, 5) and has the slope
m = 4.

Answers

Answer: 4x - y + 9 = 0

Step-by-step explanation:

Calculate the number in the middle of 8.6 and 21.3

Answers

Answer:

14.95

Step-by-step explanation:

Use a median calculator

Final answer:

To find the number in the middle of 8.6 and 21.3, you calculate their average by adding them together and dividing by two, resulting in 14.95.

Explanation:

To calculate the number in the middle of 8.6 and 21.3, we need to find the average of these two numbers. To do this, you add the two numbers together and then divide by two.

The calculation is therefore: (8.6 + 21.3) / 2.

Adding 8.6 and 21.3 gives us 29.9, and dividing 29.9 by 2 gives us 14.95. So, 14.95 is the number in the middle of 8.6 and 21.3.

There is an 8% tax in the town where the store is located. What is miguel’s total cost after sales tax has been added?

Answers

Final answer:

To determine Miguel's total cost including the 8% sales tax, add the pre-tax total of $20.98 to the sales tax amount, which is calculated as $20.98 multiplied by 0.08, totaling $22.66.

Explanation:

To calculate Miguel’s total cost including an 8% sales tax on his purchases, follow these steps:

First, find the total cost before tax by adding the prices of the items. If Miguel bought items totaling $20.98, this is the pre-tax total.

Next, convert the tax percentage to a decimal form. For an 8% sales tax, this is done by dividing by 100, which gives us 0.08.

Then, calculate the amount of sales tax by multiplying the pre-tax total by the decimal tax rate: $20.98 × 0.08 = $1.6784.

Round the sales tax to the nearest cent, which gives us $1.68.

Finally, add the sales tax to the pre-tax total to find the total cost: $20.98 + $1.68 = $22.66.

The total cost for Miguel after adding the 8% sales tax is $22.66.

Elsa saving money to buy a game so far she had saved $36 which is 3/4 of the total cost of the game how much does the game cost

Answers

Answer:

48

Step-by-step explanation:

36 = 3/4x

Divide by three then multiply by four to get x instead of 3/4x

36/3 = 12 x 4 = 48

Answer:

$48

Step-by-step explanation:

She has saved 36 which is 3/4

3/4=36/x

36/3=12

12*4=48

Square root of -3

find the square root of -3

Answers

Answer:

i times the square root of 3

Step-by-step explanation:

Whenever you take a square root of a number, look for anything that you could take out! Like if you have the square root of 40, that’s 4 * 10, so you could take out a 2 from the square root and leave the 10.

In this, we see that it’s the square root of 3 times the square root of -1, which we can simplify to the square root of 3 times “i.” We use i to represent the square root of -1.

WILL MARK U AS BRAINLIEST PLZ HELP

Answers

Answer:

112 if you don't include the triangle sides as they are not necessary, but 124 if you include one triangle and 136 if you include both triangle sides

The amount of money A, accrued at the end of n years when a certain amount, P is invested at a compound annual rate, r, is given by A=P(1+r)n. If a person invests $150 in a account that pays 10% interest compounded annually, find the balance after 5 years .

Answers

Answer:

$241.58

Step-by-step explanation:

he amount of money A, accrued at the end of n years when a certain amount, P is invested at a compound annual rate, r, is given by:

[tex]A=P(1+r)^n[/tex]

From the given information:

P =$150

r=10%=0.1

n= 5 years

Therefore the balance after 5 years is:

[tex]A=P(1+r)^n\\=150(1+0.1)^5\\=150*1.1^5\\=\$241.58[/tex]

Final answer:

The balance of the account after 5 years, with an initial investment of $150 and an annual interest rate of 10%, compunded annually, would be approximately $241.58.

Explanation:

To find the balance of the investment after 5 years, we substitute the values into the given formula. P is the principal amount which is $150, r is the annual interest rate which is 10% or 0.10 in decimal form, and n is the number of years which is 5. So the formula becomes A = $150 * (1 + 0.10)^5.

To simplify, calculate 1 + 0.10 to get 1.1. Then raise 1.1 to the power of 5 to get 1.61051. Multiply that by $150 to get approximately $241.58. So, the balance of the investment after 5 years would be approximately $241.58.

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Snsnnesnsnsnsmsmzmzmzmzzksskss

Answers

Answer:

nice

Step-by-step explanation:

mhm thats very nicee

I don’t even know where to start
Composite figures
Find the volume

Answers

Answer:

10488

Step-by-step explanation:

fist find the volume of the triangle prism and regtangle prism

21*23*16/2 (triangular prism) plus 18*23*16 (regtangular prism)

Drag a vertex of the triangle to change its shape double click or double tap a vertex or side to prevent it from changing

Answers

Answer:

if its select all that apply then its B,C,E

Step-by-step explanation:

There are different types of triangle and they include:

Equilateral TriangleScalene TriangleIsosceles Triangle, etc

What is a Triangle?

This refers to a plane figure with three vertices with three straight sides and creates an angle.

Please note that your question is incomplete so I gave you a general overview to give you a better understanding of the concept.

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the volume of an ice cream cone is 12 pi cubic cm. if the height is 9 cm, what is the diameter of the cone ?

Answers

Final answer:

The diameter of the cone is 4√3 cm, which is approximately 6.93 cm when rounded to two decimal places.

Explanation:

To find the diameter of the cone, we first need to identify the formula for the volume of a cone, which is V = (1/3)πr^2h. Given that the volume (V) of the ice cream cone is 12π cubic cm and the height (h) is 9 cm, we can set up the equation to solve for the radius (r):

12π = (1/3)πr^2(9)

We can simplify this equation by dividing both sides by π and multiplying both sides by 3/9 (which is the reciprocal of 1/3 times 9):

12 = r^2

Therefore, r = √12 cm. To find the diameter, which is twice the radius, we calculate:

Diameter = 2r = 2(√12) cm = 2(√4√3) cm = 4√3 cm

The diameter of the cone is 4√3 cm or approximately 6.93 cm when rounded to two decimal places.

if f(x)+5x-4/2 find f(10)

Answers

Answer:

f(x) = 48

Step-by-step explanation:

If you substitute 10 for x, you get:

5*10-4/2

Simplify:

50-2

f(x) = 48

True or False
A proportional relationship is non- linear.

Answers

Answer:

False - Linear is a proportional relationship as it is a straight line.

False.

False. A proportional relationship is linear. In a proportional relationship, when one variable increases or decreases, the other variable also increases or decreases at a constant rate. This results in a straight-line graph passing through the origin (0,0). In contrast, a non-linear relationship does not exhibit constant rate of change and does not form a straight line when graphed.

Complete correct question:

True or False

A proportional relationship is non- linear.

Please help me it’s on functions

Answers

Answer:

A

Step-by-step explanation:

In mathematics, a function is a relation between sets that associates to every element of a first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

6 divided by 2 ( 1+2=)=

Answers

Answer:

9

Step-by-step explanation:

6 divided by 2 equals 3 (1 plus 2 ) equals 3, 3 times 3 equal 9

the answer is 9

6 divided by 2= 3
1+2= 3
3x3=9

markup = percent markup x cost
markdown = percent markdown x original price
Andie bought a tablet computer whose original price was $149. It was marked down 35%.
What was the sale price of the computer?

Answers

35% of 149 is 52.15 so if you subtract that from 149 you get $96.85 which is the sales price

4(2x - 5) = 5x -20 +3x

Answers

Firstly, you have yo multiply out the first bracket by multiplying (2x - 5) by 4. The equation would then look like:

8x - 20 = 5x - 20 + 3x

Then you have to put normal numbers on one side and x-terms on the other. It would look like:

-20 + 20 = 5x + 3x - 8x

Then you should solve the additions and subtractions

0 = 0x

Since ANY number multiplied by 0 is zero, your equation has infinite solutions.

Answer:

All real numbers

Step-by-step explanation:

Distribute the 4 on the left side

4(2x-5)=5x-20+3x

8x-20=5x-20+3x

Combine like terms on the right side

8x-20=8x-20

All real numbers are solutions, because both sides are equal

Hope this helps! :)

Other Questions
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