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### Solve for X The image contains a hexagon with one interior angle marked as 120°. Each side of the hexagon is labeled with a linear expression. The sides and the angle are defined as follows: - One side is labeled as \(5x - 6\). - Another side is labeled as \(4x + 14\). - Another side is labeled as \(7x\). - Another side is labeled as \(8x - 8\). - Another side is labeled as \(6x\). - The angle between the sides with expressions \(5x - 6\) and \(6x\) is \(120^\circ\). ### Explanation This hexagon is irregular with side lengths expressed as linear equations in terms of \(x\). To solve for \(x\), consider properties such as the sum of angles in a polygon, equal sides, or any other geometric properties provided in additional context or accompanying problems. Analyzing these side expressions can lead to forming equations. The task is to determine the value of \(x\) that either satisfies a geometric property or balances the expressions according to given conditions.

### Solve for X The image contains a hexagon with one interior angle marked as 120°. Each side of the hexagon is labeled with a linear expression. The sides and the angle are defined as follows: - One side is labeled as \(5x - 6\). - Another side is labeled as \(4x + 14\). - Another side is labeled as \(7x\). - Another side is labeled as \(8x - 8\). - Another side is labeled as \(6x\). - The angle between the sides with expressions \(5x - 6\) and \(6x\) is \(120^\circ\). ### Explanation This hexagon is irregular with side lengths expressed as linear equations in terms of \(x\). To solve for \(x\), consider properties such as the sum of angles in a polygon, equal sides, or any other geometric properties provided in additional context or accompanying problems. Analyzing these side expressions can lead to forming equations. The task is to determine the value of \(x\) that either satisfies a geometric property or balances the expressions according to given conditions.

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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### Solve for X The image contains a hexagon with one interior angle marked as 120°. Each side of the hexagon is labeled with a linear expression. The sides and the angle are defined as follows: - One side is labeled as \(5x - 6\). - Another side is labeled as \(4x + 14\). - Another side is labeled as \(7x\). - Another side is labeled as \(8x - 8\). - Another side is labeled as \(6x\). - The angle between the sides with expressions \(5x - 6\) and \(6x\) is \(120^\circ\). ### Explanation This hexagon is irregular with side lengths expressed as linear equations in terms of \(x\). To solve for \(x\), consider properties such as the sum of angles in a polygon, equal sides, or any other geometric properties provided in additional context or accompanying problems. Analyzing these side expressions can lead to forming equations. The task is to determine the value of \(x\) that either satisfies a geometric property or balances the expressions according to given conditions.
Transcribed Image Text:### Solve for X The image contains a hexagon with one interior angle marked as 120°. Each side of the hexagon is labeled with a linear expression. The sides and the angle are defined as follows: - One side is labeled as \(5x - 6\). - Another side is labeled as \(4x + 14\). - Another side is labeled as \(7x\). - Another side is labeled as \(8x - 8\). - Another side is labeled as \(6x\). - The angle between the sides with expressions \(5x - 6\) and \(6x\) is \(120^\circ\). ### Explanation This hexagon is irregular with side lengths expressed as linear equations in terms of \(x\). To solve for \(x\), consider properties such as the sum of angles in a polygon, equal sides, or any other geometric properties provided in additional context or accompanying problems. Analyzing these side expressions can lead to forming equations. The task is to determine the value of \(x\) that either satisfies a geometric property or balances the expressions according to given conditions.
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