Question

HELP!!!! im looosing brain cells

Answer 1

Answer:

x = 11 and y = 5 is the needed solution

Step-by-step explanation:

Rigid Transformation is a transformation which PRESERVES (keeps it SAME) the LENGTH and the ANGLES in an image and pre- image.

Here, ΔABC goes under Rigid Transformation in to the ΔFED

Here sides AB, BC and AC correspond to the sides ED, EF and FD respectively.

Also the ∠A, ∠B and∠C correspond to  ∠D, ∠E and∠F respectively.

Given : AB  = 17 y - 8, ED = 12+ 13 y

Now, as AB = ED ⇒17 y - 8 = 12+ 13 y

or, 4 y = 20

or, y = 20/4 = 5, or y  = 5

Also,∠B  = 11x -4, ∠E = 117

Now, as ∠B = ∠E  ⇒11x -4 =  117

or, 11 x   = 121

or, x = 121/11 = 11, or x  = 11

Hence, x = 11 and y = 5 is the needed solution