Question

Can you please help me with this question!!!!! I need help!!!!

Answer 1

Since ΔCDE is isosceles with base angles D and E equal then sides

CE = CD , hence

16x - 27 = 4x + 9 ( subtract 4x from both sides )

12x - 27 = 9 ( add 27 to both sides )

12x = 36 ( divide both sides by 12 )

x = 3

substitute x = 3 into the expressions for the sides

CD = (4 × 3 ) + 9 = 12 + 9 = 21

DE = (7 × 3 ) - 5 = 21 - 5 = 16

CE = (16 × 3 ) - 27 = 48 - 27 = 21

note that CE = CD