Question

What is the value of x

Answer 1

ANSWER

x=27

EXPLANATION

The two triangles are similar so the corresponding sides are equal.

$\frac{x}{x +1 8} = \frac{39}{39 + 26}$

$\frac{x}{x +1 8} = \frac{39}{65}$

Cross multiply to get;

$65x = 39(x + 18)$

Expand:

65x=39x+702

Group similar terms:

65x-39x=702

Simplify

26x=102

Divide both sides by 26,

x=702/26

x=27