Answer:
8x + 6 = 2 * (5x - 2)
x = 5
OP = 46
Step-by-step explanation:
The Triangle Midsegment Theorem
A midsegment connecting two sides of a triangle is parallel to the third side and is half as long.
So, PO = 2 * SQ
8x + 6 = 2 * (5x - 2)
8x + 6 = 10x - 4
6 + 4 = 10x - 8x
10 = 2x
x = 5
OP = 8x + 6
= 8 * 5 + 6
= 40 + 6
= 46
