Find x and the measures of the indicated parts.

a. x=3/2, ab =3

b. x=3/2, ab=6

c. x=14/3, ab=28/3

d. x=14/3, ab=28

  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.

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step-by-step explanation: