Question

What is the value of x

Answer 1

x=27

Step-by-step explanation

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

`(x)/(x +1 8) = (39)/(39 + 26)`

`(x)/(x +1 8) = (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