Answer:
22
Step-by-step explanation:
Given that T is the midpoint of line PQ, segments PT = 5x + 2, and TQ = 7x - 6 that are formed would be equidistant or congruent. PT = TQ.
Therefore:

Let's find the value of x
Rearrange the equation, so that the terms having x would be on your left, while those without x would be on your right.


Divide both sides by -2

Plug in the value of x into the expression, 5x + 2, to find PT.
PT = 5(4) + 2 = 22.
Answer:
13. alternate interior
14. linear pair/ none of the above
15. vertical angles
16. corresponding angles
Step-by-step explanation:
MN + NP = MP
6x - 7 + 2x + 3 = 60
8x - 4 = 60
8x = 64
x = 8
MN = 6(8) - 7 = 56 - 7 = 49
answer
x = 8
MN = 49