Answer:
PT=19
Step-by-step explanation:
It is given that, T is the midpoint of PQ. If T is mid point, then it will bisect the line segment i.e.
PT=TQ
4x + 7=8x - 5
Subtracting 7 both sides
4x + 7-7=8x - 5-7
4x=8x-12
Subtracting 8x both sides
4x-8x=8x-12-8x
-4x=-12
4x=12
x=3
The value of x is 3.
Now,
PT = 4x + 7
= 4(3) + 7
=12+7
=19
Therefore, the length of PT is 19.