SOLUTION: T is the midpoint of PQ PT=6x+5 a. Find the value of x. TQ=8x-6 b. Find​ PT, TQ, and PQ.

Algebra ->  Square-cubic-other-roots -> SOLUTION: T is the midpoint of PQ PT=6x+5 a. Find the value of x. TQ=8x-6 b. Find​ PT, TQ, and PQ.      Log On


   

Question 1091219: T is the midpoint of PQ PT=6x+5
a. Find the value of x. TQ=8x-6
b. Find​ PT, TQ, and PQ.
Answer by greenestamps(13208) About Me  (Show Source):
You can put this solution on YOUR website!

If T is the midpoint of PQ, then PT = TQ.
6x%2B5+=+8x-6
2x+=+11

Notice that the problem does not require us to find the value of x; we only need to be able to evaluate "6x+5" and "8x-6".

PT+=+6x%2B5+=+33%2B5+=+38
TQ+=+8x-6+=+44-6+=+38

And then

PQ+=+PT+%2B+TQ+=+38+%2B+38+=+76