Use the figure to the right to find the value of PT.T is the midpoint of overline RO PT = 7x + 8 and Ta = 9x - 8 P T PT = Simplify your answer.)

Answer 1

Since T is the midpoint of overline RO, we can set the two segments equal to each other:

PT = PT

7x + 8 = 9x - 8

Subtract 7x from both sides:

8 = 2x - 8

Add 8 to both sides:

16 = 2x

Divide by 2:

x = 8

Now substitute x back into the original expression for PT:

PT = 7(8) + 8
PT = 56 + 8
PT = 64

Therefore, the value of PT is 64.