Answer:
x = 4
Explanation:
Corresponding sides of similar triangles are proportional. This fact lets us write an equation that can be solved for x.
AB/AC = DE/DC
(6x -2)/5.5 = (2x +8)/4 . . . . . . substitute the given values
4(6x -2) = 5.5(2x +8) . . . . . . multiply by 4×5.5
24x -8 = 11x +44 . . . . . . . . eliminate parentheses
13x = 52 . . . . . . . . . . . . . add 8 -11x
x = 4 . . . . . . . . . . . divide by the coefficient of x