Math Problem Statement
Solution
Let's analyze and solve each of the three problems presented in the image:
Problem 10: Find
We are given the following distances on the segment :
To find the length of , we add the given distances:
Answer:
Problem 11: Find
We are given the following distances on the segment :
To find the length of , we add the given distances:
Answer:
Problem 12: Find
We are given the following distances on the segment :
- is unknown.
Since is the total length and , we can solve for as follows:
Answer:
Summary of Answers:
Would you like any further explanations or details?
Here are 5 related questions to expand your understanding:
- If is 115 and we move 25 units from point , where would we be on the line?
- How would you find the missing segment if only the total length and one segment are known?
- How could you use similar methods to solve for unknowns on a triangle or polygon?
- What is the general formula for finding a total length from two segments on a line?
- How can you check your answers to problems like these?
Tip: When dealing with segment addition problems, always confirm the units and ensure all parts of the segment sum to the total.
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Math Problem Analysis
Mathematical Concepts
Segment Addition
Basic Geometry
Addition of Distances
Formulas
Segment Addition Formula: Total Length = Segment 1 + Segment 2
Theorems
Segment Addition Postulate
Suitable Grade Level
Grades 6-8
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