Answer:
OQ = 62
Explanations:
Given:
OQ = 4x + 2
PQ = 4x - 10
OP = 3x - 3
Since point P is on the line segment OQ, we can conclude that:
OQ = OP + PQ
4x + 2 = (3x-3) + (4x-10)
4x + 2 = 3x + 4x - 3 - 10
4x + 2 = 7x - 13
7x - 4x = 2 + 13
3x = 15
x = 15/3
x = 5
To determine the numerical length of OQ, substitute x = 5 into OQ = 4x+2
OQ = 4(15) + 2
OQ = 60 + 2
OQ = 62