Question

Solve for x.
a) 42
b) 38
c) 45

Answer 1

The value of x in the given triangle is 40, Option B is correct.

Step-by-step explanation:

Using similarity theorem, we have the following:

24/24-15 = x/x-25

Solve for x:

24/9 = x/x-25

Apply cross multiplication:

24(X-25)=9x

Distributive property:

24x-24(25)=9x

24x-9x=24×25

15x=900

Divide both sides by 15:

x=40

Hence, the value of x is 40. Option B is correct.

Complete question:

Solve for x

A) 42

B) 40

C) 45

D) 38