Setting Up an Advanced Mathematics Equation

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Homework Help Overview

The problem involves relationships between supplementary and complementary angles, specifically stating that twice the supplement of angle θ is 104 degrees greater than four times the complement of angle θ. Participants are tasked with finding the value of θ.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss how to set up equations based on the definitions of supplementary and complementary angles. There are attempts to manipulate these equations, with some participants expressing uncertainty about the algebra involved.

Discussion Status

The discussion is ongoing, with participants exploring various algebraic manipulations and questioning the correctness of their approaches. Some guidance has been offered regarding the definitions of angles and the need to express them algebraically, but no consensus has been reached on the next steps.

Contextual Notes

Participants are working under the constraints of homework rules, which may limit the information they can share or the methods they can use. There is a focus on ensuring that algebraic operations are applied correctly throughout the discussion.

  • #31
C=90-A
S=180-A

Like that?
 
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  • #32
Continue :)
 
  • #33
That would make my three equations the following:
2s=4c+104 degrees=0
S=180-A
C=90-A
 
  • #34
Haha, I tried to click thanks again, and it said I gave out to much Reputation in the last 24 hours. XD
 
  • #35
So now I need to work the equations together. Am I adding like terms, or substituting the appropriate equations where I left s and c?
 
  • #36
Do whatever works best for you. Your objective is to obtain A and get rid of c and s.
 
  • #37
Okay, after plugging in my new equations, I get 2(180-A)=(90-A)+104 degrees=A
 
  • #38
If I apply the distributive property in the first part, I get (360-A)=(90-A)+104=A
 
  • #39
Can I add 104 to 90, or does that violate an algebraic rule I am forgetting?
 
  • #40
Medgirl314 said:
Okay, after plugging in my new equations, I get 2(180-A)=(90-A)+104 degrees=A

The right hand side had 4c originally.
 
  • #41
Right, thanks. So: 2(180-A)=4(90-A)+104 degrees=A ?
 
  • #42
Why do you have two equality signs there? Where does the second one come from?
 
  • #43
I was attempting to state that those two equations are equal to both each other and A. Is the =A not supposed to be there?
 
  • #44
The original equation was 2s = 4c + 104. You substituted s = 180 - A and c = 90 - A into it. How would that bring about = A to it?
 
  • #45
No idea. It snuck it's way in there. So: 2(189-A)=4(90-A)+104 degrees.
 
  • #46
Shall I apply the distributive property?
 
  • #47
I hope 189 was a typo.

Your goal to is to transform the equation to A = ..., where the right hand side does not have A. Use whatever algebraic rules that help you achieve that. It is not too hard.
 
  • #48
Major typo. It was meant to be 180. The nine is, of course, right next to the zero, and I was typing too quickly.
 
  • #49
Applying distributive property: (360-A)=(360-A)+104.
Combining like terms: (720-2A)+104

Why doesn't that seem right?
 
  • #50
Probably because I eliminated the equal sign...
 
  • #51
Not only that, you did not apply the distr. property to A's.
 
  • #52
Right! Take five-billion: (360-2A)=(360-4A)
That should look better.
 
  • #53
Wait, nope. It doesn't make sense.
 
  • #54
I forgot the 104. Maybe this will work. (360-2A)=(360-4A)+104
 
  • #55
This is better :)
 
  • #56
Finally. It astonishes me that I had less trouble with Honors Physics the other day than with basic algebra.
(360-2A)=(464-2A)
 
  • #57
Oops. (360-2A)=(464-4A)
 
  • #58
Doesn't seem right. Should I subtract the 104 instead of adding?
 
  • #59
But that would yield (360-2A)=(256-4A), which also seems wrong.
 
  • #60
Oh! I forgot P.E.M.D.A.S.
 

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