LitaB483757 LitaB483757
  • 25-10-2022
  • Mathematics
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what values of X and Y prove the following quadrilateral a parallelogram

what values of X and Y prove the following quadrilateral a parallelogram class=

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DerielZ208623 DerielZ208623
  • 25-10-2022

We solve as follows:

*First: We will solve for x:

[tex]2x=70\Rightarrow x=35[/tex]

*Second: We will solve for y using x:

[tex]3x+5=x+3y\Rightarrow3(35)+5=(35)+3y\Rightarrow110=35+3y[/tex][tex]\Rightarrow75=3y\Rightarrow y=25[/tex]

So, the values of x & y that would make the quadrilateral a parallelogram are 35 & 25 respectively.

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