Math Problem Statement
Given segment XZ and point Y that lies on XZ, if XY = 47 and YZ = 4, find XZ. Also, what is the length of segment SR from the number line?
Solution
Let's solve Question 3 and Question 4 step by step.
Question 3:
We are given:
- lies on , meaning the total segment is composed of .
To find : None of the provided options includes , so the correct answer is: "None of these are correct."
Question 4:
We need to determine the length of segment from the number line.
From the figure:
- is at
- is at
The length of is the absolute difference between the two points:
The correct answer is: 1
Summary of Answers:
- Question 3: None of these are correct.
- Question 4: 1.
Do you need more details for any step? Let me know!
Related Questions:
- How do you calculate segment lengths using a number line?
- What is the segment addition postulate, and how is it applied?
- How can you verify the midpoint of a segment?
- How do you find the length of overlapping segments?
- What are the properties of collinear points on a line segment?
Tip: Always check if a given segment is composed of smaller parts to use the addition postulate.
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Math Problem Analysis
Mathematical Concepts
Segment Addition Postulate
Number Line Geometry
Absolute Value
Formulas
Segment Addition Postulate: XZ = XY + YZ
Absolute Difference Formula: |R - S|
Theorems
Segment Addition Postulate
Suitable Grade Level
Grades 6-8