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

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
icon
Related questions
Question
100%
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.
Expert Solution
Step 1

Theorem: Two lines are parallel if the corresponding angles are congruent on intersection by a transversal line.

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning