Answer:
22
Step-by-step explanation:
Given that T is the midpoint of line PQ, PT and TQ are both equal segments of line PQ.
PT is given as 5x + 2,
TQ = 7x - 6
Therefore:
[tex] 5x + 2 = 7x - 6 [/tex]
Solve for x
[tex] 5x + 2 - 7x = 7x - 6 - 7x [/tex]
[tex] -2x + 2 = -6 [/tex]
[tex] -2x + 2 - 2 = -6 - 2 [/tex]
[tex] -2x = -8 [/tex]
[tex] \frac{-2x}{-2} = \frac{-8}{-2} [/tex]
[tex] x = 4 [/tex]
PT = [tex] 5x + 2 [/tex]
Input the value of x
[tex] PT = 5(4) + 2 = 20 + 2 = 22 [/tex]
