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**Question 15 of 50** If \( BE \) is parallel to \( CD \), then the value of \( x \) is: **Options:** - \( 7 \). - \( 10 \). - \( 12 \). - \( 15 \). - \( 8 \). **Diagram Explanation:** The diagram illustrates a triangle \( \triangle ABC \) with a line \( BE \) parallel to the base \( CD \). The lengths are as follows: - \( DE = 2 \) - \( DA = 8 \) - \( AC = 10 \) - \( AB = x \) The setup suggests using the properties of similar triangles to determine the value of \( x \).

**Question 15 of 50** If \( BE \) is parallel to \( CD \), then the value of \( x \) is: **Options:** - \( 7 \). - \( 10 \). - \( 12 \). - \( 15 \). - \( 8 \). **Diagram Explanation:** The diagram illustrates a triangle \( \triangle ABC \) with a line \( BE \) parallel to the base \( CD \). The lengths are as follows: - \( DE = 2 \) - \( DA = 8 \) - \( AC = 10 \) - \( AB = x \) The setup suggests using the properties of similar triangles to determine the value of \( x \).

Elementary Geometry For College Students, 7e
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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**Question 15 of 50** If \( BE \) is parallel to \( CD \), then the value of \( x \) is: **Options:** - \( 7 \). - \( 10 \). - \( 12 \). - \( 15 \). - \( 8 \). **Diagram Explanation:** The diagram illustrates a triangle \( \triangle ABC \) with a line \( BE \) parallel to the base \( CD \). The lengths are as follows: - \( DE = 2 \) - \( DA = 8 \) - \( AC = 10 \) - \( AB = x \) The setup suggests using the properties of similar triangles to determine the value of \( x \).
Transcribed Image Text:**Question 15 of 50** If \( BE \) is parallel to \( CD \), then the value of \( x \) is: **Options:** - \( 7 \). - \( 10 \). - \( 12 \). - \( 15 \). - \( 8 \). **Diagram Explanation:** The diagram illustrates a triangle \( \triangle ABC \) with a line \( BE \) parallel to the base \( CD \). The lengths are as follows: - \( DE = 2 \) - \( DA = 8 \) - \( AC = 10 \) - \( AB = x \) The setup suggests using the properties of similar triangles to determine the value of \( x \).
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