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
[tex]\frac{x+4}{2x +1}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{2}{3}[/tex] ( 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
