Math Problem Statement

If RS = 16 and ST = 9, find RT. Use the number line below.

Solution

To solve the problem, we need to find the length of segment RTRT using the given lengths of segments RSRS and STST.

Given:

  • RS=16RS = 16
  • ST=9ST = 9

Since R,S,R, S, and TT are points on a number line and are in a straight line, the length of RTRT is the sum of the lengths of RSRS and STST.

So, we can calculate RTRT as follows:

RT=RS+STRT = RS + ST

RT=16+9=25RT = 16 + 9 = 25

Thus, the length of RTRT is 25.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

  1. How do we find the distance between two points on a number line?
  2. What happens if the points are not in a straight line? How would you calculate the distance then?
  3. Can you use this method for finding distances in a coordinate plane?
  4. How would you handle a situation where one of the lengths is negative?
  5. What is the difference between absolute and relative distances in math?

Tip: Always ensure that the points are in a straight line when using addition to find total lengths.

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Math Problem Analysis

Mathematical Concepts

Geometry
Number Line
Segment Addition

Formulas

RT = RS + ST

Theorems

Segment Addition Postulate

Suitable Grade Level

Grade 7