Answer:
8
Step-by-step explanation:
If the points N, O, P and Q all lie on the same line segment, in that order, such that the ratio of NO:OP: PQ is equal to 1:5:3, then;
NO + OP + PQ = 1+3+5 = 9
NQ = NO + OP + PQ = 9
Given
NQ = 9
OP + PQ = OQ
According to the ratio;
OP = 5
PQ = 3
Since OP + PQ = OQ
OQ = 5 + 3
OQ = 8
Hence the measure of OQ is 8
