Question

Given ∆QRS≅∆TUV, QS=5v+2, and TV=6v−4, find the length of QS and TV.?

a.
33°
b.
43°
c.
32°
d.
40°

Answer 1

If ∆QRS≅∆TUV, Their corresponding sides would be equal so,
QS = TV
5v + 2 = 6v - 4
6v - 5v = 2 + 4
v = 6

Now, QS = TV = 5(6) + 2 = 30 + 2 = 32

In short, Your Answer would be Option C

Hope this helps!

Answer 2

The answer is c, 32. QS and TV are congruent. You set them equal to each other. And find v, v is 6 and find QS, which is 32. Since they are congruent, both QS and TV are 32