Answer:
D
Step-by-step explanation:
CD is an angle bisector and divides the opposite side into segments which are proportional to the other 2 sides, that is
[tex]\frac{BC}{AC}[/tex] = [tex]\frac{BD}{AD}[/tex] , substitute values
[tex]\frac{4}{3}[/tex] = [tex]\frac{x}{2.25}[/tex] ( cross- multiply )
3x = 9 ( divide both sides by 3 )
x = 3 → D
