Answer:
22
Step-by-step explanation:
The segment addition theorem tells us the whole is the sum of the parts. We can use this to write an equation relating the expressions for segment length.
Setup
OQ = OP +PQ . . . . . segment addition theorem
4x +2 = (3x -3) +(4x -10) . . . . substitute given expressions
Solution
15 = 3x . . . . . . add 13 -4x to both sides
5 = x . . . . . . . divide by 3
OQ = 4x +2 = 4(5) +2 = 22
The length of OQ is 22 units.
