https://file.aiquickdraw.com/mathbot/file/17259920873071zszyk2o.jpg

The problem asks to find the length of segment \( RS \) given that:

- \( ST = 15 \)
- \( RT = 42 \)

From the number line, we can deduce that \( RT = RS + ST \). Using this relationship:

\[
RT = RS + ST
\]

Substitute the values:

\[
42 = RS + 15
\]

Now, solve for \( RS \):

\[
RS = 42 - 15 = 27
\]

Thus, the length of \( RS \) is 27.

Would you like further details or clarification?

Here are five related questions:
1. If \( RS = 27 \), what would \( ST \) be if \( RT = 50 \)?
2. How would the formula change if \( RT \) was smaller than \( ST \)?
3. Can you apply the same principle to find distances in three-dimensional space?
4. What if \( RS \) was a fraction of \( RT \)? How would you solve it?
5. Can you think of other geometric properties of line segments that can be calculated this way?

**Tip**: Always check that your relationship between the segments is consistent with the visual layout of the number line.

If ST = 15 and RT = 42, find RS using the number line below.

This problem explores how to find the length of the segment RS given ST = 15 and RT = 42 on a number line. Using basic segment addition, learn how to solve the equation RT = RS + ST, suitable for students in grades 5-7.

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