Finding unkown measures
We know T is the midpoint between P and Q, then
PT = TQ
In order to find the measure of PQ we need to find x first.
Replacing both PT = 3x + 8 and TQ = 8x -7 equations on PT = TQ
PT = TQ
↓
3x + 8 = 8x -7
Rearranging the equation:
3x + 8 = 8x -7
8 = 8x -7 - 3x
8 + 7 = 8x - 3x
15 = 5x
15/5 = x
3 = x
Now that we know x we can find PT
PT = 3x + 8
PT = 3 · 3 + 8
PT = 9 + 8
PT = 17
Answer: PT = 17
