Answer:
PT=57
Step-by-step explanation:
If PT=7x+8 and TQ=9x-6 qnd we have that T is the midpoint of PQ.
Since T is the midpoint of PQ, [tex]PT=TQ[/tex]
We substitute into the equation to get:
[tex]7x+8=9x-6[/tex]
Group the similar terms to get:
[tex]8+6=9x-7x[/tex]
We simplify now to get:
[tex]14=2x[/tex]
Divide through by 2 to get:
[tex]x=7[/tex]
PT=7*7+8=49+8=57
