Question

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

Answer 1

Remember, parallelogram's diagonals split each other in half

Answer 2

soo..

Answer 3

i am still confused

Answer 4

In wordy terms, they bisect each other

Answer 5

So LP = PN and MP = PO

Answer 6

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

Answer 7

i still dont get how to find x and y

Answer 8

okay so it isnt A

Answer 9

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.

Answer 10

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

Answer 11

Did you get your answer yet?

Answer 12

im thinking B because the Y are the same

Answer 13

? Y are the same? what are you talking about

Answer 14

the y value is -1

Answer 15

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

Answer 16

but i dont get the LP and NP

Answer 17

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

Answer 18

Did you take algebra 1???

Answer 19

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

Answer 20

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

Answer 21

they by passed me lol

Answer 22

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

Answer 23

oh wait ITS 11!!

Answer 24

ok i understand that part

Answer 25

ok the answer is C thank u

Answer 26

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.

Answer 27

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

Answer 28

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

Answer 29

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

Answer 30

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

Answer 31

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

Answer 32

Dang i sound like a mom right now

Answer 33

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

Answer 34

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

Answer 35

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

Answer 36

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

Answer 37

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