Final answer:
After calculating the value for MQ using the given segment lengths, it should result in MQ = 20. However, there seems to be a discrepancy as this result does not match any answer choices provided. More information about the arrangement of points is needed for a conclusive answer.
Step-by-step explanation:
To find MQ when given MP = 14, PO = 6, and MN = 17, it's important to clarify the relationship between these segments. Assuming segments MP and PQ are part of the same line, and N lies on that line as well, then:
- MN = MP + PN, if P lies between M and N.
- To find PN, we use the given values: PN = MN - MP = 17 - 14 = 3.
- Since PO is part of PN, to find MQ which is the sum of MP and PO, we calculate: MQ = MP + PO = 14 + 6 = 20.
However, there might be a mistake as none of the provided answer choices match the calculated result; MQ should be equal to 20 if the segments are collinear and consecutive. Further information regarding the specific geometric arrangement of points M, P, O, Q, and N is required to provide a definitive answer.