Question

What is the value of x? Enter your answer in the box. X =

Answer 1

`\boxed{10}`

Explanation:

The angle bisector divides the segments so those on one side of it are proportional to those on the other side of it.

(x+4)/8 = (2x+1)/12

12(x +4) = 8(2x +1) . . . . . multiply by 96

12x + 48 = 16x + 8 . . . . . eliminate parentheses

40 = 4x . . . . . . . . . . . . . . add -12x-8

10 = x . . . . . . . . . . . . . . . . divide by 4