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
Related questions
Question
what value of x would make lines a parallel to line b?
![**Question 4 (1 point)**
*What value of x would make line a parallel to line b?*
A diagram is shown with two parallel lines and a transversal. The transversal intersects line a forming a 96° angle, and intersects line b forming an angle labeled as \((6x - 30)^\circ\).
To find the value of \(x\) that makes lines a and b parallel, use the concept of corresponding angles being equal. Therefore, set the expression equal to 96°:
\[ 6x - 30 = 96 \]
Solve for \(x\).
**X =** _______
Blank 1:
**Question 5 (1 point)**
*What value of x would make line l parallel to line m?*
A diagram is shown with two parallel lines and a transversal. The transversal creates angles labeled \(4x + 15\) and \(147^\circ\).
To make line l parallel to line m, set these angles equal because they are alternate interior angles:
\[ 4x + 15 = 147 \]
Solve for \(x\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febb23bd7-25e8-4590-ba2e-6554eb4995be%2F7c7c647b-12b8-4981-be8c-a76efb26befc%2Fsgj0kx_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 4 (1 point)**
*What value of x would make line a parallel to line b?*
A diagram is shown with two parallel lines and a transversal. The transversal intersects line a forming a 96° angle, and intersects line b forming an angle labeled as \((6x - 30)^\circ\).
To find the value of \(x\) that makes lines a and b parallel, use the concept of corresponding angles being equal. Therefore, set the expression equal to 96°:
\[ 6x - 30 = 96 \]
Solve for \(x\).
**X =** _______
Blank 1:
**Question 5 (1 point)**
*What value of x would make line l parallel to line m?*
A diagram is shown with two parallel lines and a transversal. The transversal creates angles labeled \(4x + 15\) and \(147^\circ\).
To make line l parallel to line m, set these angles equal because they are alternate interior angles:
\[ 4x + 15 = 147 \]
Solve for \(x\).
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