Respuesta :

Answer:

x = 3.5

Step-by-step explanation:

Since CD is the angle bisector of ∠ACB then the following ratios are equal

[tex]\frac{AC}{BC}[/tex] = [tex]\frac{AD}{DB}[/tex]

substitute the given values into the equation

[tex]\frac{5}{6}[/tex] = [tex]\frac{x}{4.2}[/tex] ( cross- multiply )

6x = 21 ( divide both sides by 6 )

x = 3.5