JaziLove
  • JaziLove
please please please help, I will give MEDAL! If ON=8x-8, LM=7x+4, NM=x-5, and OL=3y-6, find the values of x and y for which LMNO must be a parallelogram. The diagram is not drawn to scale.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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JaziLove
  • JaziLove
JaziLove
  • JaziLove
@Directrix
Directrix
  • Directrix
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. |dw:1449886385223:dw|

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Directrix
  • Directrix
7x + 4 = 8x - 8 Solve for x.
JaziLove
  • JaziLove
Thats where I got stuck
Directrix
  • Directrix
7x + 4 = 8x - 8 same as 8x - 8 = 7x + 4 What do you get when you subtract 7x from both sides?
JaziLove
  • JaziLove
1x-8=+4????
JaziLove
  • JaziLove
@Directrix
Directrix
  • Directrix
>>1x-8=+4 Okay. Then x = 8 + 4 = 12 One more thing to do - get y.
JaziLove
  • JaziLove
How would i do that?
Directrix
  • Directrix
Look at the other two sides of the parallelogram. 3*y - 6 = x - 5 But, we know x = 12 3*y - 6 = 12 - 5 3*y - 6 = 7 Add 6 to both sides.
JaziLove
  • JaziLove
3y=1 ?
Directrix
  • Directrix
3*y = 13 y = 13/3 = 4 1/3 or 4.3 Do you have options?
JaziLove
  • JaziLove
no I have to show step by step and show the answer at the end
Directrix
  • Directrix
Okay, @ash2326 got the same thing we did: For a parallelogram ON=LM and NM=OL ON=LM 8x-8=7x+4 x=12 and NM=OL x-5=3y-6 x=12 7=3y-6 3y=13 y=13/3 http://openstudy.com/updates/4f1a9026e4b04992dd22bd2e
JaziLove
  • JaziLove
ok thank you so much
Directrix
  • Directrix
You are welcome. We showed all the steps but Ash gave confirmation of our answers.

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