JaziLove
  • JaziLove
please help! I will medal! In parallelogram PQRS, PT=x+2, TR=y, QT=2x, and TS=y+3. What is the length of the longer diagonal?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
JaziLove
  • JaziLove
anonymous
  • anonymous
Do you need a letter
JaziLove
  • JaziLove
sorry i forgot to put the answer choices

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JaziLove
  • JaziLove
one moment
JaziLove
  • JaziLove
A. 7 B. 10 C. 14 D. 20
FortyTheRapper
  • FortyTheRapper
Looks like the T is in the center, which makes QT = TS and PT = TR, so 2 equations would be needed
JaziLove
  • JaziLove
how would i go about setting up the equations
FortyTheRapper
  • FortyTheRapper
Like for the QT = TS, you said QT was 2x and TS was y+3, so that equation is y+3 = 2x What would the other one be?
JaziLove
  • JaziLove
x+2=y , right?
FortyTheRapper
  • FortyTheRapper
Right, so now you have to find an X and Y value by using the tedious substitution method to find those values to satisfy both equations It'll take a while, so ill work it with you
FortyTheRapper
  • FortyTheRapper
Oh, but first Since we had y+3 = 2x for the first one, we have to get y by itself.
JaziLove
  • JaziLove
could y=5 ?
JaziLove
  • JaziLove
I don't know I'm not very smart
FortyTheRapper
  • FortyTheRapper
You did get the numeral right, but not the variable Oh, don't be like that. This problem takes alot of time
JaziLove
  • JaziLove
so x=5 ?
FortyTheRapper
  • FortyTheRapper
Right! Plugging that into both those equations will get you the same y value, which is...?
JaziLove
  • JaziLove
7
JaziLove
  • JaziLove
i think
anonymous
  • anonymous
it is 7
anonymous
  • anonymous
i think
FortyTheRapper
  • FortyTheRapper
Correct! Now we can finally find the answer to this So we said originally QT = TS and PT = TR, which means QT + TS is one length and PT + TR is another So we add original lengths (2x) + (y+3) = (y) + (x+2) = We know y =7 and x=5 After finding those two answer, the larger number is the longer side
JaziLove
  • JaziLove
one moment
anonymous
  • anonymous
so is it 7 or 14
JaziLove
  • JaziLove
so the longer side is 20 because (2x5)+(7+3)=20 and that is greater than (7)+(5+2)=14
FortyTheRapper
  • FortyTheRapper
Exactly! It's D
JaziLove
  • JaziLove
I got the answer AND I understand it! Thank you so much.
FortyTheRapper
  • FortyTheRapper
Anytime!

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