Answer: 27
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Step-by-step explanation:
Since T is the midpoint of PQ, this means the smaller pieces PT and TQ must be equal. In other words, T divides PQ in half.
PT = TQ
5x+7 = 9x-9
5x-9x = -9-7
-4x = -16
x = -16/(-4)
x = 4
Use this to find each segment length.
- PT = 5x+7 = 5(4)+7 = 20+7 = 27
- TQ = 9x-9 = 9(4)-9 = 36-9 = 27
Both pieces are 27 units long, which confirms the answer.