Question

What is the answer please

Answer 1

Explanation:

ΔABE ~ ΔACD

In similar triangles, corresponding sides are in same ratio.

`(AE)/(AD)=(AB)/(AC)\\\\\\(12)/(18)=(9)/(9+x)`

`(2)/(3)=(9)/(9+x)`

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