Question

t is the midpoint of \\(\overline{pq}\\).
a. find the value of x.
b. find pt, tq, and pq.
a. find the value of x.
x = \\(\square\\) (simplify your answer.)

Explanation:

Step1: Use midpoint property

Since T is the midpoint of \( \overline{PQ} \), \( PT = TQ \). So \( 4x + 5 = 6x - 7 \).

Step2: Solve for x

Subtract \( 4x \) from both sides: \( 5 = 2x - 7 \).
Add 7 to both sides: \( 12 = 2x \).
Divide by 2: \( x = 6 \).

Answer:

6