Question

For what values of x and y are the triangles congruent?

Answer 1

The correct answer is D
A, B, and C are not true because you can not have sides of a triangle that are negative numbers.

Answer 2

Answer:

The answer is the option D

$x=7, y=4$

Step-by-step explanation:

we know that

If the triangles are congruent

then

The corresponding sides are congruent

$AC=EF, BC=DE$

substitute the values

$5x-5y=2y+7$ ------->$5x=7y+7$ --------> equation A

$6y-8=2y+8$ -------> $6y-2y=8+8$ -------> $y=4$

Substitute the value of y in the equation A and solve for x

$5x=7(4)+7$

$x=35/5$

$x=7$