Respuesta :

Answer:

y = 4.8

Step-by-step explanation:

Since AM is an angle bisector then the following ratios are equal

[tex]\frac{AC}{AB}[/tex] = [tex]\frac{CM}{MB}[/tex], that is

[tex]\frac{9.6}{8}[/tex] = [tex]\frac{y}{4}[/tex] ( cross-  multiply )

8y = 38.4 ( divide both sides by 8 )

y = 4.8