We appreciate your visit to Prove that a quadrilateral is a parallelogram In quadrilateral tex WXYZ tex tex WC 2x 5 tex and tex CY 3x 2 tex What must. 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 find the value of [tex]\( x \)[/tex] that makes quadrilateral [tex]\( WXYZ \)[/tex] a parallelogram, we need to understand that in a parallelogram, opposite sides are equal. Since [tex]\( WC \)[/tex] and [tex]\( CY \)[/tex] are given as expressions for parts of opposite sides, they must be equal for [tex]\( WXYZ \)[/tex] to be a parallelogram.
Given:
- [tex]\( WC = 2x + 5 \)[/tex]
- [tex]\( CY = 3x + 2 \)[/tex]
Since [tex]\( WC \)[/tex] and [tex]\( CY \)[/tex] are opposite sides of the parallelogram, they must be equal.
Set the expressions equal to each other:
[tex]\[ 2x + 5 = 3x + 2 \][/tex]
Now solve for [tex]\( x \)[/tex]:
1. Subtract [tex]\( 2x \)[/tex] from both sides:
[tex]\[ 5 = x + 2 \][/tex]
2. Subtract 2 from both sides:
[tex]\[ 3 = x \][/tex]
So, [tex]\( x = 3 \)[/tex].
Therefore, the value of [tex]\( x \)[/tex] that makes the quadrilateral [tex]\( WXYZ \)[/tex] a parallelogram is [tex]\( x = 3 \)[/tex].
Given:
- [tex]\( WC = 2x + 5 \)[/tex]
- [tex]\( CY = 3x + 2 \)[/tex]
Since [tex]\( WC \)[/tex] and [tex]\( CY \)[/tex] are opposite sides of the parallelogram, they must be equal.
Set the expressions equal to each other:
[tex]\[ 2x + 5 = 3x + 2 \][/tex]
Now solve for [tex]\( x \)[/tex]:
1. Subtract [tex]\( 2x \)[/tex] from both sides:
[tex]\[ 5 = x + 2 \][/tex]
2. Subtract 2 from both sides:
[tex]\[ 3 = x \][/tex]
So, [tex]\( x = 3 \)[/tex].
Therefore, the value of [tex]\( x \)[/tex] that makes the quadrilateral [tex]\( WXYZ \)[/tex] a parallelogram is [tex]\( x = 3 \)[/tex].
Thanks for taking the time to read Prove that a quadrilateral is a parallelogram In quadrilateral tex WXYZ tex tex WC 2x 5 tex and tex CY 3x 2 tex What must. 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!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
