Question

What is the value of x?
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Answer 1

x = 25.

Explanation:

24/40 = 15/x

x = (40*15) / 24

x = 600/24

= 25.

Answer 2

25

Explanation:

Those parallel lines tell us our triangles are similar. So that means the corresponding sides are proportional.

So we have that x corresponds to x+15 and

40 corresponds to 24+40.

So we have this proportion to solve:

`(x)/(x+15)=(40)/(24+40)`

Let's simplify what we can:

`(x)/(x+15)=(40)/(64)`

Cross multiply:

`(64)(x)=(x+15)(40)`

Multiply/distribute:

`64x=40x+600`

Subtract 40x on both sides:

`24x=600`

Divide both sides by 24:

`x=(600)/(24)=25`

x=25