Final answer:
To find MQ, use the segment addition postulate: MP + PO = MQ. Substituting the given values, we find that MQ is equal to 16 to the nearest hundredth.
Step-by-step explanation:
To find MQ, we can use the segment addition postulate, which states that if three points are collinear, then the sum of the lengths of any two segments is equal to the length of the whole line segment.
So we have MP + PO = MQ. Substituting the given values, we have 11 + 5 = MQ.
Therefore, MQ = 16 to the nearest hundredth.