Respuesta :

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:

8 inches.

Step-by-step 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.

[tex]\text{Length of segment MQ}=\text{Length of segment MK+Length of segment KQ}[/tex]

[tex]\text{Length of segment KQ}=\text{Length of segment MQ-Length of segment MK}[/tex]

[tex]\text{Length of segment KQ}=\text{15 inches -7 inches}[/tex]

[tex]\text{Length of segment KQ}=\text{8 inches}[/tex]

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

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