Question

Given triangle QRS is congruent to triangle TUV, QS=3v+2 and TV=7v-6, find the length of QS and TV. Please help I don't know where to start. @Yuba

Answer 1

Im pretty sure you get an image...right?o.o

Answer 2

No, I don't.

Answer 3

But I must show my work. For it is a "WorkPad" problem.

Answer 4

Alright, since we know congruent = same shape and size, that means:

Q = T
R = U
and S = V

Now we know that QS = TV so,
3v + 2 = 7v - 6

Answer 5

Is that the answer? Or do I have to solve something?

Answer 6

Do you know how to solve that equation?

Answer 7

Do you subtract 3v from both sides first?

Answer 8

Yes you do :) So then you have:

2 = 4v - 6

Then you add 6 to both sides so:

8 = 4v

Answer 9

So 2=v?

Answer 10

Yup, v = 2 :3 now find the length of both sides TV and QS

Plug in the variable

3(2) + 2 = 7(2) - 6
6 + 2 = 14 - 6
8 = 8
:)

Answer 11

And that's the final answer?

Answer 12

Yup :3 Both lengths are 8

Answer 13

Wow, thank you so much!

Answer 14

I hate math >-> Havent done it in over 6 months xD You're welcome though <3 :3

Answer 15

But yet you still managed to help me out. :P