Answer:
PT = 32
Step-by-step explanation:
From the question, we are told that:
T is the midpoint of PQ
This means:
PT = TQ
PT=3x+8 and TQ = 5x-8
Step 1
We solve for x
3x + 8 = 5x - 8
Collect like terms
8 + 8 = 5x - 3x
16 = 2x
x = 16/2
x = 8
Step 2
We can solve for PT now
PT=3x+8
x = 8
PT = 3×8 + 8
PT = 24 + 8
PT = 32
Therefore, PT = 32
