Math Problem Statement
Solution
To solve this, we need to use the information given in the problem.
- The total length of is 5.
- The segments are given as:
Since , we can set up the equation:
Step-by-step solution:
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Combine like terms on the left-hand side:
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Add 3 to both sides:
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Divide by 4 to solve for :
Now, substitute into the expression for :
So, .
Would you like more details or have any questions?
Here are 5 related questions to explore:
- If were doubled, how would that affect ?
- What would be if were increased to 7?
- How does solving for affect the rest of the segment lengths?
- Can you explain how to verify your answer by adding and values?
- What would happen if one segment was unknown but was still given?
Tip: When solving for variables in geometry problems, always check if the total distance is consistent with the sum of the parts.
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Math Problem Analysis
Mathematical Concepts
Algebra
Geometry
Linear Equations
Formulas
Sum of segment lengths: KL + LM = KM
Theorems
Segment Addition Postulate
Suitable Grade Level
Grades 7-9
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