Answer:
PT = 30.5
Explanation:
Since T is the midpoint, ...
PT = TQ
5x +3 = 7x -8 . . . . substitute the given expressions
11 = 2x . . . . . . . . . add 8-5x
5.5 = x . . . . . . . . . .divide by 2
We want PT, so we can us this value of x in its expression:
PT = 5(5.5) +3 = 27.5 +3
PT = 30.5