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Which of the following is an equation you could use to solve for the variable below? 75° 11x-2 11x-2+75 0 11x-2=75 11x-2+75=360 11x-2+75 180

Which of the following is an equation you could use to solve for the variable below? 75° 11x-2 11x-2+75 0 11x-2=75 11x-2+75=360 11x-2+75 180

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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Answer Part A and B

The image presents a mathematical problem involving angles formed by two intersecting lines. At the intersection, one angle is labeled as \(75^\circ\), and the adjacent angle is labeled as \(11x - 2\). The question asks: "Which of the following is an equation you could use to solve for the variable below?" The possible equations provided are: - \(11x - 2 + 75 = 0\) - \(11x - 2 = 75\) - \(11x - 2 + 75 = 360\) - \(11x - 2 + 75 = 180\) Given that the angles are on a straight line and adjacent, they are supplementary. Therefore, their sum is \(180^\circ\). The correct equation to solve for \(x\) would be: \[11x - 2 + 75 = 180\]
Transcribed Image Text:The image presents a mathematical problem involving angles formed by two intersecting lines. At the intersection, one angle is labeled as \(75^\circ\), and the adjacent angle is labeled as \(11x - 2\). The question asks: "Which of the following is an equation you could use to solve for the variable below?" The possible equations provided are: - \(11x - 2 + 75 = 0\) - \(11x - 2 = 75\) - \(11x - 2 + 75 = 360\) - \(11x - 2 + 75 = 180\) Given that the angles are on a straight line and adjacent, they are supplementary. Therefore, their sum is \(180^\circ\). The correct equation to solve for \(x\) would be: \[11x - 2 + 75 = 180\]
**Problem Statement:** Solve for \( x \) in the diagram below. **Diagram Description:** The diagram shows two intersecting lines forming an angle. The angle on one side is labeled as \( x + 139 \), and the angle on the opposite side is labeled as \( 132^\circ \). The lines have arrows indicating they are straight lines. **Multiple Choice Options:** - ○ \(-7\) - ○ \(132\) - ○ \(0\) - ○ \(7\) **Explanation:** In the diagram, the angles \( (x + 139) \) and \( 132^\circ \) are alternate interior angles formed by a transversal intersecting two parallel lines. Therefore, they are equal. **Equation:** \[ x + 139 = 132 \] **Solve for \( x \):** \[ x = 132 - 139 \] \[ x = -7 \] **Correct Answer:** - \(-7\) (Option 1)
Transcribed Image Text:**Problem Statement:** Solve for \( x \) in the diagram below. **Diagram Description:** The diagram shows two intersecting lines forming an angle. The angle on one side is labeled as \( x + 139 \), and the angle on the opposite side is labeled as \( 132^\circ \). The lines have arrows indicating they are straight lines. **Multiple Choice Options:** - ○ \(-7\) - ○ \(132\) - ○ \(0\) - ○ \(7\) **Explanation:** In the diagram, the angles \( (x + 139) \) and \( 132^\circ \) are alternate interior angles formed by a transversal intersecting two parallel lines. Therefore, they are equal. **Equation:** \[ x + 139 = 132 \] **Solve for \( x \):** \[ x = 132 - 139 \] \[ x = -7 \] **Correct Answer:** - \(-7\) (Option 1)
Expert Solution
Step 1: corresponding angles :

which of the following is an equation you could use to solve for the variable below.

75 to the power of ring operator space a n d space 11 x minus 2 space a r e space c o r r e s p o n d i n g space a n g l e s space s o space comma space s e t space b o t h space a n g l e s space e q u a l space.


11x -2 = 75 

Therefore, option b is correct.


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