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point m is on pq. pm has a length of 7 units, and point n is the mid - …

Question

point m is on pq. pm has a length of 7 units, and point n is the mid - point of mq. if the length of nq is 4 units, how long is pq? 18 units 11 units 3 units 15 units

Explanation:

Step1: Find length of MQ

Since N is the mid - point of MQ and NQ = 4 units, then MQ=2×NQ.
$MQ = 2\times4=8$ units.

Step2: Find length of PQ

PQ is the sum of PM and MQ. Given PM = 7 units and MQ = 8 units.
$PQ=PM + MQ=7 + 8 = 15$ units.

Answer:

15 units