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Mathematics 16 Online
OpenStudy (anonymous):

can someone please help me solve a couple problems?

OpenStudy (anonymous):

Sure. Just a tip, though; type your actual question into the question area so that people can answer it right away if they recognize the kind of problem you need to solve!

OpenStudy (anonymous):

okay thank you, im doing geometry with some equations with shapes, i need to know how to solve y+12=6x?

OpenStudy (anonymous):

Okay. By solving, do you mean graphing it?

OpenStudy (anonymous):

here ill post the question

OpenStudy (anonymous):

3. What is the value of y in LMNO ? 4 6 12 24

OpenStudy (tyteen4a03):

Is LMNO a parallelogram?

OpenStudy (anonymous):

yes it is

OpenStudy (anonymous):

Oh I see! If it is a parallelogram, then the diagonals bisect each other. So you can set up a system of equations: y= 3x y+12 = 6x Can you go from there or do you want me to show you how to solve this system?

OpenStudy (anonymous):

yes thats the equation i got, i need help solving it

OpenStudy (tyteen4a03):

You know that y = 3x. Substitute this fact into the other equation to get 3x + 12 = 6x. Now continue solving for x. Use the newfound value of x to get y.

OpenStudy (anonymous):

Okay. Well if y is equal to 3x, you can just substitute it in the other equation.

OpenStudy (anonymous):

Oh that's what @tyteen4a03 just said! Haha

OpenStudy (tyteen4a03):

@thechocoluver445 Taking turns :P

OpenStudy (anonymous):

okay 3x+12=6x, how do i solve that? lol just work me through it

OpenStudy (anonymous):

wait whatd you do with y?

OpenStudy (anonymous):

Well if you subtract 3x from both sides, then you have 12 = 3x So what is x?

OpenStudy (anonymous):

You substituted it for 3x, since y = 3x, as established by the first equation.

OpenStudy (anonymous):

okay x=4 so 3(4)=y, so y =12 ha thank you guys, i just needed a refresher, okay one more equation kinda similar to this can you help?

OpenStudy (anonymous):

Haha good job! Sure

OpenStudy (anonymous):

what is m<1 ? 20 60 80 100

OpenStudy (anonymous):

Is this a parallelogram?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Okay. Recall that if something is a parallelogram, then its opposite angles are congruent. So m<1 = 3m+20 And also, the adjacent (next to each other) angles are supplementary - this means they add up to 180. This is a fairly simple problem, you just set up an equation for one variable and solve. So, if the adjacent angles add up to 180, that means that 3m+20 and 5m add up to 180. Can you come up with the equation that shows this?

OpenStudy (anonymous):

yeah, 3m+20+5m=180? so then 8m+20=180 m=20 3(20)+20= m<1 m<1+80

OpenStudy (anonymous):

i mean m<1=80

OpenStudy (anonymous):

I think you mean to say m<1 = 80. That's right! :)

OpenStudy (anonymous):

yes! thank you so much!

OpenStudy (anonymous):

Np! Glad to help

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