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(15x+9) (21x-27) < 2/5 - g

(15x+9) (21x-27) < 2/5 - g

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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Which theorem proves line f is parallel to line g? What value of X is line f parallel to line g?
The image depicts a geometric figure with three intersecting lines labeled \( f \), \( g \), and \( h \). - Line \( f \) is a vertical line extending upwards. - Line \( g \) is a vertical line extending upwards but is angled to the right of line \( f \). - Line \( h \) is a horizontal line extending to the right. There are two angles marked at the intersection points: - On the left, the angle is labeled \( (15x+9)^\circ \). - On the right, the angle is labeled \( (21x-27)^\circ \). The angles appear to be consecutive interior angles, which might typically sum to 180 degrees if the lines are parallel. This could be used to solve for \( x \) in a typical educational setting on angles and linear equations.
Transcribed Image Text:The image depicts a geometric figure with three intersecting lines labeled \( f \), \( g \), and \( h \). - Line \( f \) is a vertical line extending upwards. - Line \( g \) is a vertical line extending upwards but is angled to the right of line \( f \). - Line \( h \) is a horizontal line extending to the right. There are two angles marked at the intersection points: - On the left, the angle is labeled \( (15x+9)^\circ \). - On the right, the angle is labeled \( (21x-27)^\circ \). The angles appear to be consecutive interior angles, which might typically sum to 180 degrees if the lines are parallel. This could be used to solve for \( x \) in a typical educational setting on angles and linear equations.
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Theorem: Two lines are parallel if the corresponding angles are congruent on intersection by a transversal line.

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