Question content area topPart 1Use the figure to the right to find the value of PT. T is the midpoint of PQ. PT 3x + 7 and TQ = 5x-9. PT = ?

1 answer

Since T is the midpoint of PQ, this means that PT = TQ. Therefore, you can set the expressions for PT and TQ equal to each other and solve for x.

3x + 7 = 5x - 9

Rearrange to get 2x = 16

So x = 8

Substitute x = 8 into the equation for PT to get PT = 3(8) + 7 = 24 + 7 = 31

So PT = 31.