Point P is on line segment \overline{OQ} OQ ​ . Given OQ=4x+2,OQ=4x+2, PQ=4x-10,PQ=4x−10, and OP=3x-3,OP=3x−3, determine the numerical length of \overline{OQ}. OQ ​ .

Answer 1

OQ = OP + PQ

4x + 2 = (3x - 3) + (4x - 10)

4x + 2 = 7x - 13

15 = 3x

x = 15 / 3 = 5

OQ = 4x + 2 = 4(5) + 2 = 22