Math Problem Statement
Find the length of segment LM, given KM = 22, KL = x, and LM = 3x.
Solution
The problem asks to find the length of segment given the total length , where and .
Step-by-step Solution:
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The total length is given as: From the diagram, and , so:
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Simplifying the equation:
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Solving for :
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Now, , so:
Final Answer:
The length of segment is 16.5 units.
Would you like further details or have any questions? Here are five related questions to think about:
- How would you find the length of segment ?
- What if the total length of was different, say 30 units?
- Can you write a general formula to find if the ratio between and changes?
- How would this problem change if instead of ?
- What if both and were expressed as different algebraic terms?
Tip: Always double-check if the given equation can be simplified further before solving for variables.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
KL + LM = KM
x + 3x = 22
Theorems
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Suitable Grade Level
Grades 6-8