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In the diagram below, \( EF \) is the median of trapezoid \( ABCD \). ![Trapezoid Diagram](image_placeholder) The diagram shows a trapezoid \( ABCD \) with the following points: \( D, C, F, E, A, \) and \( B \). \( EF \) is drawn parallel to the bases \( AB \) and \( DC \), indicating it's the median. - \( AB = 5x - 9 \) - \( DC = x + 3 \) - \( EF = 2x + 2 \) **Problem:** If \( AB = 5x - 9 \), \( DC = x + 3 \), and \( EF = 2x + 2 \), what is the value of \( x \)? **Choices:** 1. \( 5 \) 2. \( 2 \) 3. \( 7 \) 4. \( 8 \)

In the diagram below, \( EF \) is the median of trapezoid \( ABCD \). ![Trapezoid Diagram](image_placeholder) The diagram shows a trapezoid \( ABCD \) with the following points: \( D, C, F, E, A, \) and \( B \). \( EF \) is drawn parallel to the bases \( AB \) and \( DC \), indicating it's the median. - \( AB = 5x - 9 \) - \( DC = x + 3 \) - \( EF = 2x + 2 \) **Problem:** If \( AB = 5x - 9 \), \( DC = x + 3 \), and \( EF = 2x + 2 \), what is the value of \( x \)? **Choices:** 1. \( 5 \) 2. \( 2 \) 3. \( 7 \) 4. \( 8 \)

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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In the diagram below, \( EF \) is the median of trapezoid \( ABCD \). ![Trapezoid Diagram](image_placeholder) The diagram shows a trapezoid \( ABCD \) with the following points: \( D, C, F, E, A, \) and \( B \). \( EF \) is drawn parallel to the bases \( AB \) and \( DC \), indicating it's the median. - \( AB = 5x - 9 \) - \( DC = x + 3 \) - \( EF = 2x + 2 \) **Problem:** If \( AB = 5x - 9 \), \( DC = x + 3 \), and \( EF = 2x + 2 \), what is the value of \( x \)? **Choices:** 1. \( 5 \) 2. \( 2 \) 3. \( 7 \) 4. \( 8 \)
Transcribed Image Text:In the diagram below, \( EF \) is the median of trapezoid \( ABCD \). ![Trapezoid Diagram](image_placeholder) The diagram shows a trapezoid \( ABCD \) with the following points: \( D, C, F, E, A, \) and \( B \). \( EF \) is drawn parallel to the bases \( AB \) and \( DC \), indicating it's the median. - \( AB = 5x - 9 \) - \( DC = x + 3 \) - \( EF = 2x + 2 \) **Problem:** If \( AB = 5x - 9 \), \( DC = x + 3 \), and \( EF = 2x + 2 \), what is the value of \( x \)? **Choices:** 1. \( 5 \) 2. \( 2 \) 3. \( 7 \) 4. \( 8 \)
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