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OpenStudy (anonymous):
OpenStudy (nikato):
So what is the perimeter of a triangle?
OpenStudy (anonymous):
perimeter means the sum of the lengths of all the sides...
OpenStudy (anonymous):
the perimiter of the triangle is 63 units
OpenStudy (anonymous):
first you need to find x, and this can be found using the perimeter
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OpenStudy (anonymous):
The perimeter is 3x. Is it asking for a numerical answer?
OpenStudy (anonymous):
no, its asking for the length of side PR
OpenStudy (anonymous):
the sum of all the sides is 63, and from the diagram you know that it also equals to 6x + 3 (just add all of it together)
OpenStudy (anonymous):
The answer is 30.
OpenStudy (anonymous):
set it equal, and you have x. After you know what that is, just fine the length of PR (multiply your number x with 3)
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OpenStudy (anonymous):
30 is right :)
OpenStudy (anonymous):
OpenStudy (anonymous):
The perimeter is the length of every side added together. Therefore, the perimeter is 3x + x + 1 + 2x + 2. This simplifies to 6x + 3. Because the perimeter equals 63, 6x + 3 = 63. You want to isolate x, so subtract 3 from both sides. Now you have 6x = 60. Divided both sides by 6 to get x by itself. Now you know that x = 10. Because the length of PR is 3x, just plug 10 into that and you get 3 times 10, which equals 30.
OpenStudy (anonymous):
what about the second one i just posted
OpenStudy (anonymous):
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OpenStudy (anonymous):
I wanted to explain the first problem. Hopefully you understand it.
OpenStudy (anonymous):
Thanks so much, lots of help. but the second one is a little different. can you help with the second one
OpenStudy (anonymous):
I think that you posted the same one.
OpenStudy (anonymous):
opps yes i did! sorry! im going to post the new one now
OpenStudy (anonymous):
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OpenStudy (anonymous):
Okay, so the problem doesn't tell you the length of PQ, right?
OpenStudy (anonymous):
nope just says the rectangle is 130 units
OpenStudy (anonymous):
Well you do know the length of SR and because this is a rectangle, SR is the same length as PQ. The two sides have the same length, right?
OpenStudy (anonymous):
yes so the answere would be 5y - 1?
OpenStudy (anonymous):
It must be a numerical answer, 50 for example.
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OpenStudy (anonymous):
Just like the last problem.
OpenStudy (anonymous):
ohh okay, so how do i find it? sorry i'm confused
OpenStudy (anonymous):
PQ is the same as SR and SP is the same as RQ, right?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
Because of this, you would multiply SR by 2 and RQ by 2, correct?
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OpenStudy (anonymous):
Because they are the same, you are adding 5y - 1 to 5y - 1 and 4y + 3 to 4y + 3, correct?
OpenStudy (anonymous):
correct
OpenStudy (anonymous):
Because you are trying to find the perimeter, you are adding all of the sides together. Now you have 5y - 1 + 5y - 1 + 4y + 3 + 4y + 3, correct?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
so it would be 18y+6?
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OpenStudy (anonymous):
Can you simplify this?
OpenStudy (anonymous):
18Y + 6
OpenStudy (anonymous):
Sorry, didn't see that.
OpenStudy (anonymous):
Close, but what about the -1s?
OpenStudy (anonymous):
-1 + -1 = -2. You forgot to add that to 6. Because you are combining like terms, you are going to add -1 to -1 to 3 to 3. What does that equal?
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OpenStudy (anonymous):
so 18Y + 4
OpenStudy (anonymous):
Correct!
OpenStudy (anonymous):
so i would devid 4 by each side?
OpenStudy (anonymous):
Each side of what?
OpenStudy (anonymous):
devid 4 by 18?
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OpenStudy (anonymous):
18y + 4 is one side. What is the other?
OpenStudy (anonymous):
what do i do with the 18y + 4
OpenStudy (anonymous):
18y - 4 = 130, correct?
OpenStudy (anonymous):
yes so thats the answer?
OpenStudy (anonymous):
Wrong. 18y + 4 = 130, not 18y - 4.
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OpenStudy (anonymous):
so how do i do that?
OpenStudy (anonymous):
I was just making sure you were paying attention.
OpenStudy (anonymous):
Your goal is to isolate x. How do you do that?
OpenStudy (anonymous):
I am i just get confused with - and +
OpenStudy (anonymous):
Oh, okay. Sometimes I am too. :)
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OpenStudy (anonymous):
by subtracting 4 on each side? i thinl
OpenStudy (anonymous):
I actually made that mistake ALL THE TIME in 7th grade. :p
OpenStudy (anonymous):
subtract 4 off of 18y
OpenStudy (anonymous):
Correct! Subtract 4 from each side.
OpenStudy (anonymous):
Now what do you have?
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OpenStudy (anonymous):
14y
OpenStudy (anonymous):
No, you subtract 4 from 4, not from 18y.
OpenStudy (anonymous):
oh so all thats left would be 18y
OpenStudy (anonymous):
You want to get rid of 4. To do that, you subtract it from itself.
OpenStudy (anonymous):
Correct. You would be left with 18y. What would you have on the other side?
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OpenStudy (anonymous):
what other side
OpenStudy (anonymous):
You have 18y = 130. The perimeter of the rectangle is 130.
OpenStudy (anonymous):
You are subtracting 4 from both sides.
OpenStudy (anonymous):
so now devid 18 from 130?
OpenStudy (anonymous):
No, you have to subtract 4 from both sides. 18y + 4 = 130. When you subtract 4 from both sides, what do you get?
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OpenStudy (anonymous):
18y=126
OpenStudy (anonymous):
Yes! Now you can divide 18 from both sides. :)
OpenStudy (anonymous):
answere will be 7
OpenStudy (anonymous):
Correct.
OpenStudy (anonymous):
That is not the final answer, however.
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OpenStudy (anonymous):
yay! thanks so much
OpenStudy (anonymous):
Your goal is to find the length of PQ.
OpenStudy (anonymous):
7 isnt the answer
OpenStudy (anonymous):
y = 7. Your goal is to find the length of PQ. Because PQ is the same as SR, PQ equals 5y - 1. Because you know the value of y, you can plug it into 5y -1. Do you understand?
OpenStudy (anonymous):
so answere is 34
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OpenStudy (anonymous):
yay i was right!! i have one more! can you please give me the answere in message?
OpenStudy (anonymous):
OpenStudy (anonymous):
@micahpkay
OpenStudy (anonymous):
Oh, sorry. I left for a while.
OpenStudy (anonymous):
Wow! This one looks REALLY hard. O_O
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OpenStudy (anonymous):
Just add up the sides. What do you get?
OpenStudy (anonymous):
OpenStudy (anonymous):
the perimeter formula is 2(l + w). So, in this case it's 2(5z + 4z + 3) = 18z + 6 = 222. Then just solve for z :)
OpenStudy (anonymous):
so it would be 32z + 9 = 222?
OpenStudy (anonymous):
no, i already multiplied it by two, and its 18z + 6 = 222
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