M is between points C and Q. CM=17 and CQ=21.

What is MQ?

To find \( MQ \), we can use the relationship between the distances provided. 

Since point \( M \) lies between points \( C \) and \( Q \), the total distance from \( C \) to \( Q \) is split into the distances \( CM \) and \( MQ \).

We are given:
- \( CM = 17 \)
- \( CQ = 21 \)

Since \( CQ = CM + MQ \), we can calculate \( MQ \) as:

\[
MQ = CQ - CM = 21 - 17 = 4
\]

Thus, \( MQ = 4 \).

Would you like more details or have any questions?

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Here are five related questions:
1. If \( CM = 10 \) and \( CQ = 18 \), what would \( MQ \) be?
2. If the positions of \( M \), \( C \), and \( Q \) were on a coordinate plane, how could you find \( MQ \)?
3. How would you calculate the total distance if both \( CM \) and \( MQ \) were unknown?
4. What if the distance between \( C \) and \( Q \) was 0—what would that imply about \( M \)?
5. How could the concept of segments like \( CM \) and \( CQ \) be used in real-world applications?

**Tip**: When working with segments on a line, always remember that the total distance is the sum of its parts.

M is between points C and Q. CM=17 and CQ=21. What is MQ?

Learn how to find the distance MQ when given the distances CM = 17 and CQ = 21. This problem uses basic geometry concepts such as linear segments and the segment addition postulate, making it suitable for students in Grades 5-7.

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