Question

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

Answer 1

Answer:

x = 10

Step-by-step explanation:

the ray is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides , that is

$\frac{x+4}{2x +1}$ = $\frac{8}{12}$ = $\frac{2}{3}$ ( cross- multiply )

2(2x + 1) = 3(x + 4) ← distribute parenthesis

4x + 2 = 3x + 12 ( subtract 3x from both sides )

x + 2 = 12 ( subtract 2 from both sides )

x = 10