Answer:
31 units
Step-by-step explanation:
If OT = OS, then MN = PQ.
If MN = 7x + 13, and PQ = 10x - 8, find first the value of x.
7x + 13 = 10x - 8
13 + 8 = 10x - 7x
21 = 3x
Divide both sides by 3.
7 = x
x = 7
Then, substitute the x from the value of PQ which is 10x - 8.
10 (7) - 8
70 - 8
62
S will be our midpoint, so the measure of PS is half the measure of PQ.
62 ÷ 2 = 31
Therefore, the measure of line segment PS is 31 units.
