Question

Help with this one? Please

Answer 1

Answer:

x = 40

Step-by-step explanation:

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

$\frac{24}{24 - 15} = \frac{x}{x - 25}$

$\frac{24}{9} = \frac{x}{x - 25}$

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