Respuesta :

Answer:

x = 2; y = 6.

Step-by-step explanation:

If the two triangles will be congruent by the HL Theorem, the hypotenuses and side lengths have to be equal. That means that...

x + 3 = y - 1

2x - 1 = y - 3

x + 3 = y - 1

y - 1 = x + 3

y = x + 4

2x - 1 = y - 3

y - 3 = 2x - 1

y = 2x + 2

2x + 2 = x + 4

x = 2

y = 2x + 2

y = 2 * 2 + 2

y = 4 + 2

y = 6

y = x + 4

y = 2 + 4

y = 6

Hope this helps!