Question

find mq and pq.
b. mq = 4, pq = 4
d. mq = 8, pq = 8
a. mq = 4, pq = 8
c. mq = 8, pq = 4

Explanation:

Step1: Observe the number - line segments

From the number - line, we can see that the distance between \(P\) and \(M\) is 4 units and the distance between \(M\) and \(Q\) is 4 units.

Step2: Calculate \(MQ\) and \(PQ\)

Since the distance between \(M\) and \(Q\) is 4 units, \(MQ = 4\). And \(PQ=PM + MQ\), and since \(PM = 4\) and \(MQ = 4\), then \(PQ=4 + 4=8\).

Answer:

A. \(MQ = 4\), \(PQ = 8\)