Question

ΔΑΒC Δ EDS What is the value of x?

Answer 1

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