Math Problem Statement
Solution
The problem asks us to determine the numerical length of the segment . Let's analyze the given information:
Approach:
- Point is on the line segment , so we can use the fact that: Substituting the given expressions: Simplifying the right-hand side: Combine like terms: Now, solve for :
Step 2: Find the length of
Now that we have , we can substitute it into the expression for :
Thus, the numerical length of is .
Would you like more details or have any questions?
Here are five related questions:
- How would you solve for if ?
- What is the length of when ?
- Can you explain how to check if lies on ?
- What is the difference between line segments and rays in geometry?
- If were different, how would the length of change?
Tip: Always double-check your calculations by plugging the values back into the original equations to ensure correctness.
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Math Problem Analysis
Mathematical Concepts
Algebra
Line Segment
Equation Solving
Formulas
RT = ST + RS
Simplification of linear equations
Theorems
Segment Addition Postulate
Suitable Grade Level
Grades 8-10
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