-20 -15 -10 10 15 20 What is the length of line segment EF?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The image depicts a number line ranging from -20 to 20. Two points, marked as E and F, are highlighted on this number line. Point E is located at -5, and point F is located at 10. 

Beneath the number line, the question is posed: "What is the length of line segment EF?"

### Explanation:

To find the length of the line segment EF, calculate the distance between the two points on the number line.

- **Position of E**: -5
- **Position of F**: 10

**Length of EF** = |10 - (-5)| = |10 + 5| = 15

Therefore, the length of line segment EF is 15 units.
Transcribed Image Text:The image depicts a number line ranging from -20 to 20. Two points, marked as E and F, are highlighted on this number line. Point E is located at -5, and point F is located at 10. Beneath the number line, the question is posed: "What is the length of line segment EF?" ### Explanation: To find the length of the line segment EF, calculate the distance between the two points on the number line. - **Position of E**: -5 - **Position of F**: 10 **Length of EF** = |10 - (-5)| = |10 + 5| = 15 Therefore, the length of line segment EF is 15 units.
Expert Solution
Introduction:

This is the simple problem based on number system where we find the distance between two points as:

As we know the length of any line segment is equal to the distance between the two extreme points.

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