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
Question 2 please show work and label

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.)
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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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