Question

Help with this one? Please

Answer 1

x = 40

Explanation:

The figure shows two similar triangles. Thus, the side lengths of similar triangles are proportional to each other. Therefore:

`(24)/(24 - 15) = (x)/(x - 25)`

`(24)/(9) = (x)/(x - 25)`

Cross multiply

`24(x - 25) = 9(x)`

`24x - 600 = 9x`

Subtract 24x from each side

`- 600 = 9x - 24x`

`- 600 = -15x`

Divide both sides by -15

`40 = x`

x = 40