Jander56
contestada

For what values of x and y are the triangles congruent?
A. X=-4, y= -4
B. X=-4, y= 4
C. X=4, y= 7
D. X=7, y=4

For what values of x and y are the triangles congruent A X4 y 4 B X4 y 4 C X4 y 7 D X7 y4 class=

Respuesta :

bob3141
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.
calculista

Answer:

The answer is the option D

[tex]x=7, y=4[/tex]

Step-by-step explanation:

we know that

If the triangles are congruent

then

The corresponding sides are congruent

[tex]AC=EF, BC=DE[/tex]

substitute the values

[tex]5x-5y=2y+7[/tex] ------->[tex]5x=7y+7[/tex] --------> equation A

[tex]6y-8=2y+8[/tex] -------> [tex]6y-2y=8+8[/tex] -------> [tex]y=4[/tex]

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

[tex]5x=7(4)+7[/tex]

[tex]x=35/5[/tex]

[tex]x=7[/tex]