Answer:
x = 3
Step-by-step explanation:
Angle Bisector Theorem: [tex]\frac{AC}{BC} = \frac{AD}{BD}[/tex]
Let AD = x
Let BD = 5 - x
[tex]\frac{9}{6}= \frac{x}{5-x}[/tex]
[tex]45-9x=6x[/tex]
[tex]45 = 15x[/tex]
[tex]x = 3[/tex]
