Question

Solve for x A) 42 B) 40 C) 45 D) 38

Answer 1

Answer:

x = 40

Step-by-step explanation:

Using similarity theorem, we have the following:

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

Solve for x

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

Cross multiply

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

$24x - 600 = 9x$

Subtract 24x from each side

$- 600 = 9x - 24x$

$- 600 = -15x$

Divide both sides by -15

40 = x

x = 40