Examine the diagram. Triangle A B C. Angle A is (3 x minus 24 degrees) and angle B is x degrees. The exterior angle to angle C is 132 degrees. What equation can be used to find the value of x? What is the measure of ∠B? m∠B= °

Answers

Answer 1

Answer:

Setting up the equation you would have: 132 = x + (3x-24)

Now solve for x:

132 = x + (3x-24)

Simplify:

132 = 4x -24

Add 24 to both sides:

156 = 4x

Divide both sides by 4:

x = 156/4

x = 39

Step-by-step explanation:

Answer 2

The measure and equation that should be used is 39 and 132 = x + (3x-24)

Calculation of the equation used:

Since angle B is x degrees. The exterior angle to angle C is 132 degrees.

Here the equation that should be used is shown below.

132 = x + (3x-24)

132 = 4x -24

156 = 4x

x = 39

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Related Questions

plz help i need this asap

Answers

Answer:

option B

Step-by-step explanation:

simplify the expression:
20m^3
over
32m^5

Answers

Answer:

5 over 8m ^2

Step-by-step explanation:

20m^3

32m^5

m^3 divided by m^5 equals one over m^2.

20 divided by 32 is 5 over 8.

Multiply these and you'll get 5 over 8m^2

Answer:

0.00023841857

125/524288

Step-by-step explanation:

Decimal form: 0.00023841857

Fraction Form: 125/524288

What is the lateral surface area of this triangular prism in square centimeters?

Answers

Answer:

lateral surface area of the triangular prism = 128 cm²

Step-by-step explanation:

The question is incomplete the picture below represents the complete question.

Lateral surface area of a triangular prism = PH

where

p = perimeter of the triangle

H = height of the prism

perimeter = 5 + 5 + 6 = 16 cm

height of the prism = 8 cm

Lateral surface area of a triangular prism = Perimeter of the triangle × height of the prism

lateral surface area of the triangular prism = 16 × 8

lateral surface area of the triangular prism = 128 cm²

In ΔTUV, t = 410 cm, ∠U=27° and ∠V=78°. Find the length of v, to the nearest 10th of a centimeter.

Answers

Answer:

[tex]v \approx 415.2\,cm[/tex]

Step-by-step explanation:

The angle T is:

[tex]\angle T = 180^{\circ} - 27^{\circ} - 78^{\circ}[/tex]

[tex]\angle T = 75^{\circ}[/tex]

Now, the length of v is determine by the Law of Sines:

[tex]\frac{410\,cm}{\sin 75^{\circ}} = \frac{v}{\sin 78^{\circ}}[/tex]

[tex]v = (410\,cm)\cdot \left(\frac{\sin 78^{\circ}}{\sin 75^{\circ}} \right)[/tex]

[tex]v \approx 415.2\,cm[/tex]

solve: 3(x+4)= 12 + 3x

Answers

Answer:

All solutions

Step-by-step explanation:

Regardless of what x equals the answer will work

Answer:

x=2

Step-by-step explanation:

3(x+4)= 12 + 3x

x=2              12+3x

3(2+4)          x=2

3x6                3x2=6

18                      12+6=18

In 2010 Harry bought 200 shares in ford motors company stock for 35.21 per share in 2018 he sold the shares for 26.78 each express his capital loss as a percent

Answers

Answer:

23.94%

Step-by-step explanation:

In 2010, Harry bought 200 shares in ford motors company stock for $35.21 per share. This means that the cost price of buying the 200 shares is:

C = 200 * 35.21 = $7042

In 2018, he sold the shares for $26.78 per share. The selling price of 200 shares is:

S = 200 * 26.78 = $5356

The loss is given as the cost price minus selling price. That is:

L = CP - SP

L = 7042 - 5356

L = $1686

Percentage loss is given as loss divided by cost price multiplied by 100:

%L = 1686 / 7042 * 100

%L = 23.94%

PLEASE ANSWER ASAP! 48 POINTS!!

IF YOU ANSWER JUST FOR POINTS I'LL REPORT YOU!!!

Explain how solving -7y > 161 is different from solving 7y > -161.

Answers

the first choice has a negative 7 and the second choice has a negative 161 these are both negatives in different places which cause a different reaction

What is the relationship between the diameter and radius?
(1 Point)
d=r2
2r=d
2d=r
O
rxr=d

Answers

Answer:

2r = d

Step-by-step explanation:

Diameter is two times of radius.

Diameter = 2 x radius

2 r = d

Which fraction represents 25% of the offspring in a genetic cross?

Answers

Answer:

1/4

Step-by-step explanation:

There should be 4 boxes in a genetic cross

Answer:

1/4 because we already know that 1/4 is equal to 25%

Step-by-step explanation:

How do you find the area of composite shapes with rectangles and triangles?

Answers

The area of a rectangle: Base times Height

The area of a triangle: (1/2) times Base times Height.

Happy to help!

ANSWER QUICKLY PLEASE

Answers

Answer:

0,4 meters

Step-by-step explanation:

1. 0,08 x 2 = 0,16 m² (area of the square)

2. √0,16 = 0,4 m (length of one side)

Answer:

00.08 meters

Step-by-step explanation:

growup0.8 32-6=6

1. 4x - 5 ( for x is 4 )
2. 2a + 5 ( for a is 3 )
3. 6(n-5) + 3 ( for n is 9 )
4. 2( 3y - 2) for y is 2

Answers

Answer:

11

12

24

16

substitute variable for the number and solve  

1. 11.
2. 11
3. 27
4. 8

A bag contains 2 red, 5 blue, and 7 yellow marbles. Find the probability of drawing a yellow or a red.

Answers

Answer:

drawing a red marble would be 2 in a 14 or 1/7 chance n drawing a yellow would be 1/2.

The probability of drawing a yellow marbles is 1/2

What is probability ?

Probability means the quality or state of being probable; the extent to which something is likely to happen or be the case

We have,

Bag contains marbles

Red=2

Blue=5

Yellow=7

Total marbles in bag = 2+5+7=14

The total number of ways of selecting one marble out n(s) = 14[tex]C_{1}[/tex]

                                                                                                      = 14 ways

Let E be the event of selecting yellow marbles

Since, the bag contains 7 yellow marbles

one yellow marble can be draw from 7 yellow n(E) =7[tex]C_{1}[/tex]

                                                                                        = 7 ways

We know the formula,

P(E)= n(E)/n(s)

       = 7/14

        = 1/2

Hence, the probability of drawing a yellow marbles is 1/2

To learn more about probability from here

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WILL GIVE BRAINLIEST. Billy ordered a pizza with a crust that is 10π inches long. What is the area of the pizza?

Answers

Answer:

~31.42

Step-by-step explanation:

I multiplied 10 x pi and it gave me 31.4159265359 and I rounded up to 31.42

Amanda has 14 coins in her pocket that equal 54 cents. All the coins are nickels, n, and pennies, p. Which combination of coins
does Amanda have? Use the table to answer the question.

Answers

10 nickels, n, and 4 pennies, p.

Answer:

The answer to this question is c

Step-by-step explanation:

10 nickels and 4 pennies

ANSWER ASAP PLEASE!
(02.01)A class has 4 boys and 10 girls. What is the ratio in simplest form that compares number of boys to total number of students?

4:14
4:10
2:7
2:5

Answers

Answer:

2:7

Step-by-step explanation:

4+10=14

The least common factor is 2.

4/2=2

14/2=7

Answer:

c. 2:7

Step-by-step explanation:

4+10 is 14

2 is the least common factor

4/2 simplified to 2

14/2 simplified to 7

Two angles are supplementary. If the m∠A is five times the sum of the m∠B plus 7.2°, what is m∠B?

Answers

Answer:

m∠B = 24°

Step-by-step explanation:

m∠A + m∠B = 180°

m∠A = 5 ( m∠B + 7.2 )

5 ( m∠B +7.2 ) + m∠B = 180

5m∠B + 36 + m∠B = 180

6m∠B = 180 - 36

6m∠B = 144

m∠B = 24°

What is the circumference of the circle? Use 3.14 for pi
d= 33 cm

Answers

Answer:

103.62 cm

Step-by-step explanation:

c=pid

3.14(33)=103.62

Answer:

circumference = 2πr (r = d/2)(r=16.5)

=2×3.14×16.5

=103.62

Step-by-step explanation:

HOPE IT HELPS YOU

write an equivalent ratio to 2:7​

Answers

Answer:

4:14

Step-by-step explanation:

Please Answer !! A store is having a sale on almonds and jelly beans. For 5 pounds of almonds and 3 pounds of jelly beans, the total cost is $23. For 2 pounds of almonds and 6 pounds of jelly beans, the total cost is $20. Find the cost for each pound of almonds and each pound of jelly beans.

Answers

Answer:Let x = number of pounds of jelly beans

      y = number of pounds of almonds.

 

Then, 4x + 8y = 33

          2x + 3y = 13

 

Multiply the second equation by -2 to get the system:

 

4x + 8y = 33

-4x - 6y = -26

 

Adding the equations, we get 2y = 7.  So, y = 3.5

 

Substitute for y in either of the given equations:  2x + 3(3.5) = 13

                                                                                     2x + 10.5 = 13

                                                                                                 2x = 2.5

                                                                                                   x = 1.25

x2 + y2 + 6x – 4y - 15 = 0
Find the center and radius of the circle

Answers

Radius is square root of square root of 28 and center is (-3,2)

A skate board was originally priced at £100 on Thursday.
On Friday the price was reduced by 50%. On Saturday, Friday's price was reduced by a further 30%. On Sunday, Saturday's price was reduced by a final 10%.
What was the final percentage reduction on the original price?

Answers

Answer:

31.5

Step-by-step explanation:

50 percent of 100 would be 50, so you subtract 50 from 100, and 30 percent of 50 is 15, so you subtract 15 from 50 and then get 35, which 10 percent of is 3.5, and finally you subtract 3.5 from 35 and you end up with 31.5.

hi!
got a question!
I couldn't understand this, so please try your best understanding me
The question is : Find the volume of the figure above ​

Answers

Answer:

985.31 cm² is the volume of the figure.

Step-by-step explanation:

First, find the volume of the cylinder

[tex]V=\pi r^{2} h[/tex]      Use this equation to find the volume of the cylinder

[tex]V=\pi (4)^{2} (20)[/tex]     Simplify the exponent and multiply

[tex]V = 320\pi[/tex]            Multiply

1005.31 cm² is the volume of the cylinder

Next, find the volume of the rectangle

V = L x W x H     Use this equation to find the volume of the rectangle

V = 20 x 1 x 1      Multiply

V = 20 cm² is the volume of the rectangle

Subtract the volume of the rectangle from the volume of the cylinder to find the volume of the figure.

1005.31 cm² - 20 cm² = 985.31 cm² is the volume of the figure.

If this answer is correct, please make me Brainliest!

Answer:

I had 271.36cm^3

Step-by-step explanation:

There are 2 figures in the diagram above a cylinder and a cuboid if I'm right

So volume of Figure = V(cylinder) + V(cuboid)

V(cylinder) =pi x rxr xh

Pi=3.142, radius is 2 (since diameter is 4cm), height is 20cm.

So V(cylinder) =3.142x4x20 = 251.36cm^3

V(cuboid) =lbh =1x1x20 =20cm^3

So V(figure)= 20+251.36

=271.36cm^3

can someone please help
me!!

Answers

greater then or equal to
Greater than or equal to

Sasha makes a wooden base for a sculpture with the dimensions shown.

The sculpture is too heavy for the base, so she needs to add a brace from

point C to point E to make the base stronger.

How long does the brace need to be? Round your answer to the nearest tenth.

a) 3.4 ft

b) 4.6 ft

c) 5.4 ft

d) 9 ft

Answers

c? if im wrong so sorry!

Hey guys I really need help with this one exercise soo maybe can someone plzz help for 20 points? Write also the whole detail of your answer plz!

Math problem: There are 36 carpenters in a crew. On a certain day, 29 were present. What percent showed up for work? (round to the nearest tenth)

Answers

Answer:

10%

Step-by-step explanation:

Answer:

The percentage showed up for work is 8.556 %

● Given that total number of Carpenters is 36.

● On a certain day only 29 carpenters were present.

● To calculate the percentage we have to divide the number of carpenters present on that specific day by the total number of carpenters and multiply the product with 100 i.e., we have to divide 29 with 36 and multiply it with 100.

Percentage = (29 / 36) * 100

= (0.80556) * 100

= 80.556

● Therefore the required percentage is 80.556%

Step-by-step explanation:

Alexa earns $63,000 per year. What is her monthly salary a) $8,000 b) $4,500 c) $5,250 d)$6,320

Answers

Answer:

$5,250 C

Step-by-step explanation:

All you do is $63,000 divided by the 12 months in a year. Then you get your answer of $5,250

Look at the attached picture

Hope it will help you

what is the solution of 3x+8/x-4>0

Answers

Answer:

x > 0

This should be the answer :D

Answer:

X>0

Step-by-step explanation:

a. 45
b. 30
c. 85
d. 90

Answers

I’m pretty sure it’s C but idk? Sorry

The kitten weighs 3 pounds. How many ounces does it weigh?
0>) 48 ounces
1) 60 ounces
(3) 19 ounces
) 30 ounces

Answers

Answer:

the first one

Step-by-step explanation:

1 pound equals 16 ounces.

The total number of ounces that it will weight is 48.

What are ounces ?

"The ounce is the name of several different units of mass, weight or volume and is derived almost unchanged from the uncia, an Ancient Roman unit of measurement.

The avoirdupois ounce (exactly 28.349523125 g) is 1⁄16 avoirdupois pound; this is the United States customary and British imperial ounce. It is primarily used in the United States to measure packaged foods and food portions, postal items, areal density of fabric and paper, boxing gloves, and so on, but it is sometimes also used elsewhere in the Anglosphere."

Given,

Number of pounds = 3

[tex]1 pound = 12 ounces[/tex]

So, 3 pound = 12*3 = 48 ounces

Hence, option A is the correct option.

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