## Consider the following figure:### Diagram Description:The diagram consists of three parallel vertical lines, labeled $ l_1, l_2, $ and $ l_3 $. Two horizontal lines intersect these vertical lines. The intersections form points labeled as follows:- On the top horizontal line: $ A $ on $ l_1 $, $ B $ on $ l_2 $, and $ C $ on $ l_3 $.- On the bottom horizontal line: $ D $ on $ l_1 $, $ E $ on $ l_2 $, and $ F $ on $ l_3 $.### Given Data:- $ l_1 \parallel l_2 \parallel l_3 $- $ AB = 2 $- $ BC = 3 $- $ DE = x $- $ EF = 12 - x $### Task:Find the values of $ x, DE, $ and $ EF $.### Solution:The problem is asking you to find the values based on the given equations and relationships among the segments on these parallel lines.### Fields to Fill:- $ x = $ - $ DE = $ - $ EF = $

Name: ## Consider the following figure:### Diagram Description:The diagram
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Description: ## Consider the following figure:### Diagram Description:The diagram consists of three parallel vertical lines, labeled $ l_1, l_2, $ and $ l_3 $. Two horizontal lines intersect these vertical lines. The intersections form points labeled as foll

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Answered: ļ l lo B D i821lg, AB = 2, BC = 3, DE =…

Math

Geometry

ļ l lo B D i821lg, AB = 2, BC = 3, DE = x, EF = 12 - x Given: %3D Find: X, DE, EF X = DE = EF %3D

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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Topic Video

Question

## Consider the following figure:

### Diagram Description:
The diagram consists of three parallel vertical lines, labeled $ l_1, l_2, $ and $ l_3 $. Two horizontal lines intersect these vertical lines. The intersections form points labeled as follows:

- On the top horizontal line: $ A $ on $ l_1 $, $ B $ on $ l_2 $, and $ C $ on $ l_3 $.
- On the bottom horizontal line: $ D $ on $ l_1 $, $ E $ on $ l_2 $, and $ F $ on $ l_3 $.

### Given Data:
- $ l_1 \parallel l_2 \parallel l_3 $
- $ AB = 2 $
- $ BC = 3 $
- $ DE = x $
- $ EF = 12 - x $

### Task:
Find the values of $ x, DE, $ and $ EF $.

### Solution:
The problem is asking you to find the values based on the given equations and relationships among the segments on these parallel lines.

### Fields to Fill:
- $ x = $
- $ DE = $
- $ EF = $

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