JaziLove
  • JaziLove
help PLEASE, I will medal In parallelogram PQRS, PT=2x, TR=y+4, QT=x+2, and TS=y. Find the values of x and y.
Mathematics
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SOLVED
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katieb
  • katieb
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JaziLove
  • JaziLove
JaziLove
  • JaziLove
@Cardinal_Carlo help please
anonymous
  • anonymous
i'll see what I can do, give me a few minutes

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JaziLove
  • JaziLove
sure thing
anonymous
  • anonymous
Since this is a parallelogram, the opposing sides are parallel, and since the the crossing segments attach to opposing corners, we can safely say that each crossing segment bisects the other. So: \[PT = TR \rightarrow 2x = y + 4 \rightarrow 2x - 4 = y\] AND \[QT = TS \rightarrow x + 2 = y\] Now that we have two defined equations from the same model, we can proceed by equating the two to get our variables x and y: \[2x - 4 = x + 2\] Solve for x: \[x = 6\] plug into either equation to get y. I'll choose the simplest one: \[y = (6) + 2 = 8\] and there you have it. \[x = 6\] AND \[y = 8\]
JaziLove
  • JaziLove
Thanks so much!(:
anonymous
  • anonymous
You're welcome again :)

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