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Solve for x andy in each triangle 13. 14. 82 2x-M 7y

Solve for x andy in each triangle 13. 14. 82 2x-M 7y

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 and y in each triangle:** 1. **Triangle 13:** - Isosceles triangle with two equal angles and one unique angle. - One angle measures \(82^\circ\). - The equations for the sides are \(2x-11\) and \(7y\). 2. **Triangle 14:** - Isosceles triangle with two equal sides. - The angle opposite the equal sides is labeled as \(y^\circ\). - The equations for the sides are \(9x+1\) and \(2x+5\). 3. **Triangle 15:** - Generic triangle with sides and one known angle. - One angle measures \(48^\circ\). - The equations for the sides are \(3y-2\), \(3x+6\), and a side length of 22. 4. **Triangle 16:** - Isosceles triangle with two equal sides. - One angle measures \(42^\circ\). - The equations for the sides are \(4y-11\) and \(x\). Students need to use geometric principles and algebra to find the values of \(x\) and \(y\) for each triangle based on the provided equations and measurements.
Transcribed Image Text:**Solve for x and y in each triangle:** 1. **Triangle 13:** - Isosceles triangle with two equal angles and one unique angle. - One angle measures \(82^\circ\). - The equations for the sides are \(2x-11\) and \(7y\). 2. **Triangle 14:** - Isosceles triangle with two equal sides. - The angle opposite the equal sides is labeled as \(y^\circ\). - The equations for the sides are \(9x+1\) and \(2x+5\). 3. **Triangle 15:** - Generic triangle with sides and one known angle. - One angle measures \(48^\circ\). - The equations for the sides are \(3y-2\), \(3x+6\), and a side length of 22. 4. **Triangle 16:** - Isosceles triangle with two equal sides. - One angle measures \(42^\circ\). - The equations for the sides are \(4y-11\) and \(x\). Students need to use geometric principles and algebra to find the values of \(x\) and \(y\) for each triangle based on the provided equations and measurements.
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