Answer:
A. X=3/2, AB =3
Step-by-step explanation:
∆ADC ~ ∆AEB so we have AB/AC = AE/AD:
2x/(2x+4) = (14-8)/14
14(2x) = 6(2x+4) . . . . . . . cross multiply
28x = 12x +24 . . . . . . . . eliminate parentheses
16x = 24 . . . . . . . . . . . . . .subtract 12x
x = 24/16 = 3/2 . . . . . . . divide by the coefficient of x; reduce the fraction
Then the length of AB is ...
AB = 2x = 2(3/2) = 3
The solution is x = 3/2, AB = 3.
