Answer:PT + TQ is 12x - 6
Step-by-step explanation:
To find the expression for the segment PT + TQ when given PT = 5x + 3 and TQ = 7x - 9, you simply add the two expressions together.
Here's the step-by-step process:
1. Add the expressions PT and TQ:
PT = 5x + 3
TQ = 7x - 9
PT + TQ = (5x + 3) + (7x - 9)
PT + TQ = 5x + 3 + 7x - 9
PT + TQ = (5x + 7x) + (3 - 9)
PT + TQ = 12x - 6
Therefore, the expression for the segment PT + TQ is 12x - 6.
