Answer:
x ≈ 8.57
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{8}{6}[/tex] = [tex]\frac{20-x}{x}[/tex] ( cross- multiply )
8x = 6(20 - x) , distribute
8x = 120 - 6x ( add 6x to both sides )
14x = 120 ( divide both sides by 14 )
x ≈ 8.57 ( to the nearest hundredth )
