Answer:
x = 14.4
Step-by-step explanation:
Since the line segment is an angle bisector then the following ratios are equal
[tex]\frac{x}{11.6}[/tex] = [tex]\frac{8.3}{6.7}[/tex] ( cross- multiply )
6.7x = 8.3 × 11.6 = 96.28 ( divide both sides by 6.7 )
x = [tex]\frac{96.28}{6.7}[/tex] = 14.4 ( to the nearest tenth )
