Question

Use the figure to the right to find the value of PT. T is the midpoint of PQ

PT=5x+7 and TQ=9x-9

Answer 1

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.