Answer:
13
Step-by-step explanation:
If T is the midpoint PT =TQ
PT = TQ
3x+1 =5x−7
Subtract 3x from each side
3x+1 -3x=5x-3x−7
1 = 2x-7
Add 7 to each side
1+7 = 2x-7+7
8 = 2x
Divide by 2
8/2 = 2x/2
4 =x
We want to find PT
PT=3x+1
= 3*4+1
= 12+1
= 13
