Ask question

Ask question

All categories

2 years ago

5

Find the value of x in each case

1 answer:

yanalaym [24]2 years ago

8 0

Answer:

x = 69

Step-by-step explanation:

m<M = x

From the triangle we know that

m<M + m<MNQ + m<MQN = 180

From the parallel lines we know that

m<MNQ = m<UQN = x

x + x + 42 = 180

2x + 42 = 180

2x = 138

x = 69

You might be interested in

GIVING 50 POINTS FOR THE FIRST 2 PEOPLE

pochemuha

Answer:Thanks

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

a group of 25 sixth graders, 40% of them said they had never visited another state. How many students said they had never visite

diamong [38]

Correct Answer: 10 students have never visited another state
40/100 × 25 =
40 is out of 100 because percentages always is represented by 100 (cent)

cross out the zero's equally top and bottom
so it would become: 4/100 × 25 = 4 ×25 = 100
then add the denominator
100/10 is our final resolution

cross out the zeros evenly and answer will give you 10.

6 0

3 years ago

Read 2 more answers

A rectangle and a triangle have the same area.

Andrej [43]

<h3>Answer:</h3>

<u>If a rectangle and a triangle have the same area</u>.

Then,

<u>L × B = 1/2 × B × H</u>
10 × 3 = 1/2 × 6 × H
30 = 3 × H
30/3 = H
10 = H

<u>Hence, the height of triangle is 10cm</u>.

7 0

2 years ago

What is the volume of the right triangular prism shown?

ollegr [7]

<u>Given</u>:

The sides of the base of the triangle are 8, 15 and 17.

The height of the prism is 15 units.

We need to determine the volume of the right triangular prism.

<u>Area of the base of the triangle:</u>

The area of the base of the triangle can be determined using the Heron's formula.

$S=\frac{a+b+c}{2}$

Substituting a = 8, b = 15 and c = 17. Thus, we have;

$S=\frac{8+15+17}{2}$

$S=\frac{40}{2}=20$

Using Heron's formula, we have;

$Area = \sqrt{S(S-a)(S-b)(S-c)}$

$Area = \sqrt{20(20-8)(20-15)(20-17)}$

$Area = \sqrt{20(12)(5)(3)}$

$Area = \sqrt{3600}$

$Area = 36$

Thus, the area of the base of the right triangular prism is 36 square units.

<u>Volume of the right triangular prism:</u>

The volume of the right triangular prism can be determined using the formula,

$V=\frac{1}{2}A_b h$

where $A_b$ is the area of the base of the prism and h is the height of the prism.

Substituting the values, we have;

$V=\frac{1}{2}(60\times 15)$

$V=450$

Thus, the volume of the right triangular prism is 450 cubic units.

8 0

2 years ago

What is the area of the parallelogram?

Genrish500 [490]

Equals the product of one of its sides

3 0

2 years ago

Read 2 more answers