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parallelogram, RS = 5 - 3y, ST = 2x + 1, TV = y + 1 and VR = x + 5, find the values of x and y. R 2) If RSTV is a W T

parallelogram, RS = 5 - 3y, ST = 2x + 1, TV = y + 1 and VR = x + 5, find the values of x and y. R 2) If RSTV is a W T

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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Question 2 please show work and label
**Problem 2: Parallelogram Geometry** **Instructions:** Show all work to receive full credit for the problem. **Problem Statement:** If \( RSTV \) is a parallelogram, given the conditions: - \( RS = 5 - 3y \) - \( ST = 2x + 1 \) - \( TV = y + 1 \) - \( VR = x + 5 \) Find the values of \( x \) and \( y \). **Diagram Explanation:** The diagram features a parallelogram \( RSTV \) with an intersection at \( W \). The vertices are labeled counterclockwise starting from the top left as \( R \), \( S \), \( T \), and \( V \). **Additional Note:** The points \( M \), \( P \), \( Z \), and \( Q \) are referenced as \( M(-2, 4) \), \( P(3, 5) \), \( Z(2, -3) \), with instructions to sketch a graph and utilize a theorem to solve the problem. (Note: Points \( M, P, Z, Q \) are mentioned in the ensuing text but lack context in this problem statement.) --- This explanation is designed to lead you through solving the problem by analyzing the properties of a parallelogram where opposite sides are equal, thus setting the equations accordingly.
Transcribed Image Text:**Problem 2: Parallelogram Geometry** **Instructions:** Show all work to receive full credit for the problem. **Problem Statement:** If \( RSTV \) is a parallelogram, given the conditions: - \( RS = 5 - 3y \) - \( ST = 2x + 1 \) - \( TV = y + 1 \) - \( VR = x + 5 \) Find the values of \( x \) and \( y \). **Diagram Explanation:** The diagram features a parallelogram \( RSTV \) with an intersection at \( W \). The vertices are labeled counterclockwise starting from the top left as \( R \), \( S \), \( T \), and \( V \). **Additional Note:** The points \( M \), \( P \), \( Z \), and \( Q \) are referenced as \( M(-2, 4) \), \( P(3, 5) \), \( Z(2, -3) \), with instructions to sketch a graph and utilize a theorem to solve the problem. (Note: Points \( M, P, Z, Q \) are mentioned in the ensuing text but lack context in this problem statement.) --- This explanation is designed to lead you through solving the problem by analyzing the properties of a parallelogram where opposite sides are equal, thus setting the equations accordingly.
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