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Solve for x and y. 8) 7y-4 7y - 12 13.9 13x + 2 14x +3 L M 14.7 9) 5+ 5y O \ 58° Sy-9 12x Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent. 10) X 9x + 10 6 Find the angle measure indicated. Assume that lines which appear to be tangent are tangent. 11) 12) 20 °

Solve for x and y. 8) 7y-4 7y - 12 13.9 13x + 2 14x +3 L M 14.7 9) 5+ 5y O \ 58° Sy-9 12x Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent. 10) X 9x + 10 6 Find the angle measure indicated. Assume that lines which appear to be tangent are tangent. 11) 12) 20 °

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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### Geometry Exercise Sheet #### Solve for x and y: **Question 8:** This image shows a circle labeled with several line segments intersecting and forming a polygon inside the circle. The chord segments are labeled with algebraic expressions involving the variable \( y \). Solve the following equations to find \( y \): - \( 7y - 4 \) - \( 7y - 12 \) - \( 13x + 2 \) - \( 14y + 3 \) **Question 9:** This image features another circle with intersecting chords and labeled segments. Solve the equations to find \( x \): - \( 5x + 9 \) - \( 9x - 10 \) - \( 5x + 5 \) - \( 12x - 6 \) #### Find the Perimeter of Each Polygon: Assume that lines which appear to be tangent are tangent. **Question 10:** In this problem, a triangle is inscribed around a circle, with the lengths of the tangents provided: - Tangent from one vertex: 13.9 - Tangent from another vertex: 14.7 - You need to find the perimeter of the triangle formed by these tangents. #### Find the Angle Measure Indicated: Assume that lines which appear to be tangent are tangent. **Question 11:** In this image, a circle is given with several tangents and secants forming an inscribed angle of 58 degrees. Determine the measure of the indicated angle formed by these tangents. **Question 12:** The image features a circle with a tangent and a secant forming an inscribed angle, and one angle given as 20 degrees. Compute the measure of the required angle in the diagram. ### Graph/Diagram Descriptions: **Diagram for Question 8:** The diagram shows a circle with intersecting chords labeled \( J, K, L, M, P, y \) and segments \(7y - 4, 14y + 3, 13x + 2\). **Diagram for Question 9:** The circle shows intersecting chords labeled \( V, W, X, Y \) with segments labeled \( 5x + 9, 5x + 5, 9x - 10, 12x - 6 \). **Diagram for Question 10:** The diagram
Transcribed Image Text:### Geometry Exercise Sheet #### Solve for x and y: **Question 8:** This image shows a circle labeled with several line segments intersecting and forming a polygon inside the circle. The chord segments are labeled with algebraic expressions involving the variable \( y \). Solve the following equations to find \( y \): - \( 7y - 4 \) - \( 7y - 12 \) - \( 13x + 2 \) - \( 14y + 3 \) **Question 9:** This image features another circle with intersecting chords and labeled segments. Solve the equations to find \( x \): - \( 5x + 9 \) - \( 9x - 10 \) - \( 5x + 5 \) - \( 12x - 6 \) #### Find the Perimeter of Each Polygon: Assume that lines which appear to be tangent are tangent. **Question 10:** In this problem, a triangle is inscribed around a circle, with the lengths of the tangents provided: - Tangent from one vertex: 13.9 - Tangent from another vertex: 14.7 - You need to find the perimeter of the triangle formed by these tangents. #### Find the Angle Measure Indicated: Assume that lines which appear to be tangent are tangent. **Question 11:** In this image, a circle is given with several tangents and secants forming an inscribed angle of 58 degrees. Determine the measure of the indicated angle formed by these tangents. **Question 12:** The image features a circle with a tangent and a secant forming an inscribed angle, and one angle given as 20 degrees. Compute the measure of the required angle in the diagram. ### Graph/Diagram Descriptions: **Diagram for Question 8:** The diagram shows a circle with intersecting chords labeled \( J, K, L, M, P, y \) and segments \(7y - 4, 14y + 3, 13x + 2\). **Diagram for Question 9:** The circle shows intersecting chords labeled \( V, W, X, Y \) with segments labeled \( 5x + 9, 5x + 5, 9x - 10, 12x - 6 \). **Diagram for Question 10:** The diagram
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