A 8 in D 6 in 4 in B' А. 6 in В. 8 in С. 9 in D. 12 in

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The diagram features triangle ABC with points D and E on sides AB and AC, respectively, forming line segment DE parallel to BC. The side measurements are as follows:

- AD = 8 inches, DC = 4 inches.
- DE, which is parallel to BC, measures 6 inches.
- The segment BC is labeled with \( x \) inches, indicating it's the unknown length to solve for.

Below the diagram, possible answers for \( x \) are listed:

A. 6 in   
B. 8 in  
C. 9 in  
D. 12 in

The diagram represents a scenario involving similar triangles, which will be key in solving for \( x \) by employing the properties related to parallel lines and proportional segments.
Transcribed Image Text:The diagram features triangle ABC with points D and E on sides AB and AC, respectively, forming line segment DE parallel to BC. The side measurements are as follows: - AD = 8 inches, DC = 4 inches. - DE, which is parallel to BC, measures 6 inches. - The segment BC is labeled with \( x \) inches, indicating it's the unknown length to solve for. Below the diagram, possible answers for \( x \) are listed: A. 6 in B. 8 in C. 9 in D. 12 in The diagram represents a scenario involving similar triangles, which will be key in solving for \( x \) by employing the properties related to parallel lines and proportional segments.
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