Quadrilateral LMNO has diagonals that intersect at point P. If LP = 6x – 5, MP = y + 25, NP = 4x + 17, and OP = 5y + 29, find the values of x and y such that LMNO is a parallelogram.
A.
x = 11, y = 1
B.
x = 10, y = –1
C.
x = 11, y = –1
D.
x = –1, y = 11

- anonymous

- katieb

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- anonymous

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- anonymous

Remember, parallelogram's diagonals split each other in half

- anonymous

soo..

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- anonymous

i am still confused

- anonymous

In wordy terms, they bisect each other

- anonymous

So LP = PN and MP = PO

- anonymous

It's quite simple, you just have to know the properties

- anonymous

i still dont get how to find x and y

- anonymous

okay so it isnt A

- anonymous

I told you. Look at the picture.
The diagonals of a parallelogram bisect each other. This means LP = PN and MP = PO.
What is so hard about that. You have what they say LP, PN, MP, and PO are, so plug their values in.

- anonymous

Just a side note, PN and NP are exactly the same thing

- anonymous

Did you get your answer yet?

- anonymous

im thinking B because the Y are the same

- anonymous

? Y are the same? what are you talking about

- anonymous

the y value is -1

- anonymous

for OP and MP the answer is -1 and equals 24 for both

- anonymous

but i dont get the LP and NP

- anonymous

Jesus christ -_-
LP = 6x – 5, MP = y + 25, NP = 4x + 17, and OP = 5y + 29
And the diagonals of a parallelogram bisect each other. This means LP = NP and MP = OP.
So; 6x-5 = 4x+17 and y + 25 = 5y + 29

- anonymous

Did you take algebra 1???

- anonymous

no i took buisness math because it was a hell of a lot easier.

- anonymous

then how are taking geometry, you can't unless you take algebra 1

- anonymous

they by passed me lol

- anonymous

ok i dont get 6x-5 = 4x+17
because neither 11 or 10 works

- anonymous

oh wait ITS 11!!

- anonymous

ok i understand that part

- anonymous

ok the answer is C thank u

- anonymous

OMG here's what you gotta do.
Call whatever class you're taking
Cancel it
Sign up for Algebra 1.
Finish algebra 1.
Come back and then take geometry.
Because you can't keep on just doing guess and check or plugging in x for y. It just doesn't work when you get to the harder problems.

- anonymous

I'll draw out the correct way to do it.

- anonymous

I take geometry online. Im finished with highschool. I cant just cancel a class.

- anonymous

LP = 6x – 5, MP = y + 25, NP = 4x + 17, and OP = 5y + 29
And the diagonals of a parallelogram bisect each other. This means LP = NP and MP = OP.
So; 6x-5 = 4x+17 and y + 25 = 5y + 29
|dw:1436840739993:dw|

- anonymous

Ah that makes it easier. So i would suggest you to take algebra 1 consecutively with geometry, which will make life a lot easier.

- anonymous

The lazy way out never works out, trust me on that

- anonymous

Dang i sound like a mom right now

- anonymous

lmao i cant take anymore classes geometry is the only one i need im just worrying about finishing this geometry course before august so i never have to take math again

- anonymous

i already took algebra 1 i just got a really low grade but i still passed, and that was 4 years ago

- anonymous

Thats gonna be a truckload, since it seems you can't isolate variables and etc.
I would suggest u check this out http://www.purplemath.com/modules/solvelin.htm

- anonymous

You at least need to know how to isolate variables for geometry, because plugging in stuff takes a truckload of time

- anonymous

na im 50% ahead of the program. most answers are online lmao

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