Skip to main content

If ON= 8x-8, LM= 7x-4, NM= x-9 and OL= 5y-7, find the values of x and y for which LMNO must be a parallelogram.?

2 Answers

To be a parallelogram, both pairs of opposite sides must be equal in length, i.e. LM=ON and LO=MNLM=ON7x-4=8x-8 (-7x)-4=x-8 (+8) 4=xx=4LO=MN5y-7=x-9 (sub x=4)5y-7=4-9 5y-7=-5 (+7)5y=2 (/5)y=2/5Therefore,x=4y=2/5... Show More
opposite sides are congruent...did you make a diagram ? do it now !You have BAD information in your problem !ON = LM8x - 8 = 7x - 4solving for x gives: x = 4However, if x = 4, then NM (which you say is (x - 9)) would be NEGATIVE...CAN NOT HAVE A NEGATIVE DIMENSION !Check your problem, check your post...repost the problem correctly !... Show More

Want to answer this question?

Join our community to share your knowledge!

Categories

Tags

Related Questions

4
If one sample of food contains 200 calories and another contains 300 calories, which statement applies?

If one sample of food contains 200 calories and another contains 300 calories, which statement applies? a. the200 calori...

4
If p(x) = 2×2 – 4x and q(x) = x – 3, what is mc007-1.jpg?

If p(x) = 2x2 – 4x and q(x) = x – 3, what is mc007-1.jpg?

6
If Russia interfered in the election, it happened during Obama’s administration, so it’s his fault. Is he a Russian stooge?

He should be investigated and prosecuted, for either incompetence or corruption. There’s just no other way to look at it...

1
If services are rendered for credit, then?

Liabilities Will Decrease Assets Will Decrease Stockholders' Equity Will Increase Liabilities Will Increase

6
If sin x = .21,what is cos x?

I need help with my homework!!!here are the answer choices a: .76 b: .98 c: .87 d: .65

4
If sin(x) = 1/3 and sec(y) = 5/4, where x and y lie between 0 and π/2, evaluate sin(x + y). 11?

If sin(x) = 1/3 and sec(y) = 5/4, where x and y lie between 0 and π/2, evaluate sin(x + y). 11