Answer:
The value of x is 11 and CE = 40 and AC = 60
Step-by-step explanation:
Δ ΑΒC ≅ Δ EDS, therefore we have that:
24 / 36 = 3x + 7 / 6x - 6
Solving for x,
24 * (6x -6) = 36 * (3x + 7)
144x - 144 = 108x + 252
144x - 108x = 252 + 144
36x = 396
x = 396/36
x = 11 ⇒ 3x + 7 = 33 + 7 = 40; ⇒ 6x - 6 = 66 - 6 = 60
The value of x is 11 and CE = 40 and AC = 60
