We appreciate your visit to Practice proving that a quadrilateral is a parallelogram In quadrilateral tex WXYZ tex tex WC 2x 5 tex and tex CY 3x 2 tex What. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To determine what [tex]\( x \)[/tex] must be for quadrilateral [tex]\( WXYZ \)[/tex] to be a parallelogram, we need to use the property that opposite sides in a parallelogram are equal. The segments [tex]\( WC \)[/tex] and [tex]\( CY \)[/tex] represent parts of opposite sides, and thus, they must be equal in length.
We have the following given expressions for these segments:
- [tex]\( WC = 2x + 5 \)[/tex]
- [tex]\( CY = 3x + 2 \)[/tex]
Since [tex]\( WC \)[/tex] and [tex]\( CY \)[/tex] need to be equal, we set up the equation:
[tex]\[ 2x + 5 = 3x + 2 \][/tex]
To solve for [tex]\( x \)[/tex], follow these steps:
1. Subtract [tex]\( 2x \)[/tex] from both sides to isolate terms involving [tex]\( x \)[/tex] on one side:
[tex]\[ 5 = x + 2 \][/tex]
2. Subtract 2 from both sides to solve for [tex]\( x \)[/tex]:
[tex]\[ 5 - 2 = x \][/tex]
[tex]\[ x = 3 \][/tex]
Therefore, for [tex]\( WXYZ \)[/tex] to be a parallelogram, [tex]\( x \)[/tex] must equal 3.
We have the following given expressions for these segments:
- [tex]\( WC = 2x + 5 \)[/tex]
- [tex]\( CY = 3x + 2 \)[/tex]
Since [tex]\( WC \)[/tex] and [tex]\( CY \)[/tex] need to be equal, we set up the equation:
[tex]\[ 2x + 5 = 3x + 2 \][/tex]
To solve for [tex]\( x \)[/tex], follow these steps:
1. Subtract [tex]\( 2x \)[/tex] from both sides to isolate terms involving [tex]\( x \)[/tex] on one side:
[tex]\[ 5 = x + 2 \][/tex]
2. Subtract 2 from both sides to solve for [tex]\( x \)[/tex]:
[tex]\[ 5 - 2 = x \][/tex]
[tex]\[ x = 3 \][/tex]
Therefore, for [tex]\( WXYZ \)[/tex] to be a parallelogram, [tex]\( x \)[/tex] must equal 3.
Thanks for taking the time to read Practice proving that a quadrilateral is a parallelogram In quadrilateral tex WXYZ tex tex WC 2x 5 tex and tex CY 3x 2 tex What. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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