Question

Point K is between points M and Q. If line segment MK = 7 inches and line segment MQ = 15 inches, what is the measurement of KQ?

Answer 1

This problem unfortunately does not state that point K lies on the straight line connecting points M and Q (that is, line MQ).

If that's the actual situation, then the length of KQ is (15-7) inches, or 8 inches.

But if K lies off the line MQ, we cannot find the measure of KQ without further info on the location of K.

Answer 2

8 inches.

Explanation:

We have been given that point K is between points M and Q.

Line segment MK = 7 inches

Line segment MQ = 15 inches.

To find the length of segment KQ we will subtract length of segment MK from length of line segment MQ as total length of a line segment equals to the sum of lengths of its parts.

`\text{Length of segment MQ}=\text{Length of segment MK+Length of segment KQ}`

`\text{Length of segment KQ}=\text{Length of segment MQ-Length of segment MK}`

`\text{Length of segment KQ}=\text{15 inches -7 inches}`

`\text{Length of segment KQ}=\text{8 inches}`

Therefore, the length of line segment KQ is 8 inches.