Answer:
Step-by-step explanation:
ΔABE ~ ΔACD
In similar triangles, corresponding sides are in same ratio.
[tex]\dfrac{AE}{AD}=\dfrac{AB}{AC}\\\\\\\dfrac{12}{18}=\dfrac{9}{9+x}[/tex]
[tex]\dfrac{2}{3}=\dfrac{9}{9+x}[/tex]
Cross multiply,
2*(9+x) = 3*9
2*9 + 2*x = 27
18 + 2x = 27
2x = 27 - 18
2x = 9
x = 9/2
x = 4.5
