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The diagram shows a line segment from point \( Q \) to point \( S \), with point \( R \) in between them. The distances between the points are labeled as follows:

- \( QR = 12 \)
- \( RS = 19 \)

To find \( QS \), which is the total distance from \( Q \) to \( S \), we can simply add the distances \( QR \) and \( RS \):

\[
QS = QR + RS = 12 + 19 = 31
\]

Thus, \( QS = 31 \).

### Explanation:
We are adding the distances from \( Q \) to \( R \) and from \( R \) to \( S \) because they lie on the same straight line, so their lengths are additive.

Would you like a more detailed explanation or further clarifications? 

Here are 5 relative questions that expand on this problem:
1. If the distance from \( R \) to \( T \) is 8, what is the distance from \( Q \) to \( T \)?
2. What if \( QS = 50 \) and \( QR = 20 \)? How would you find \( RS \)?
3. Can you express the relationship between points \( Q \), \( R \), and \( S \) as an equation?
4. If \( QR = x \) and \( RS = y \), how would you write \( QS \) in terms of \( x \) and \( y \)?
5. How would this problem change if the distances given were along a curved path instead of a straight line?

**Tip:** Always remember to check if points are collinear when adding distances along a straight path.

Find QS. The distance from Q to R is 12, and from R to S is 19.

Learn how to find the total length of line segment QS given that QR = 12 and RS = 19. This problem illustrates the additive property of collinear points and basic geometry concepts. Suitable for students in Grades 4-6.

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