anonymous
  • anonymous
HELP PLEASEEEE =( What is a in terms of b and y? a. b+y+65 b. b-y+65 c. b+y+75 d. b-2y+45 e. b-y+75
Mathematics
chestercat
  • chestercat
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nincompoop
  • nincompoop
where is your original equation?
anonymous
  • anonymous
|dw:1439572787323:dw|
nincompoop
  • nincompoop
we know that a + y = 180 we can start our exposition from here

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anonymous
  • anonymous
whats the next step
nincompoop
  • nincompoop
slow down, I am at work lol
anonymous
  • anonymous
where do u work
nincompoop
  • nincompoop
oh right you're doing gre... ask someone else if you're in a time crunch
nincompoop
  • nincompoop
|dw:1439574194246:dw|
anonymous
  • anonymous
i dont get it
anonymous
  • anonymous
ingenious @nincompoop
zmtgaminghd
  • zmtgaminghd
its a
anonymous
  • anonymous
I have every confidence in @nincompoop and I like the approach, of course a + y =180 (straight angle). good starting point.
anonymous
  • anonymous
so what next
anonymous
  • anonymous
@yomamabf what you basically have is two equations (two triangles)
freckles
  • freckles
|dw:1439575651614:dw|
freckles
  • freckles
another thing you might want to use along with the equations poop pointed out is that x+y=90
anonymous
  • anonymous
hi @freckles, I teach the stuff, and that isnt broken down enough for me!
anonymous
  • anonymous
how do we kno that's a b inside on the other side of the b
freckles
  • freckles
@BPDlkeme234 I wasn't trying to solve it for her
freckles
  • freckles
I was pointing out useful information
freckles
  • freckles
that she could use to solve it
freckles
  • freckles
what do you mean @yomamabf
anonymous
  • anonymous
|dw:1439575867408:dw|
freckles
  • freckles
I use the same variable poop used called it b'
anonymous
  • anonymous
Hi @ yomambf, basically what you do is start from what you know. What they are saying is, you know that the sum of the angles in a straight angle is 180 degrees (i.e. a + y)
freckles
  • freckles
|dw:1439575943969:dw|
freckles
  • freckles
you can call it something other than that I just didn't want to change all the equations already pointed out
anonymous
  • anonymous
i usually really like geometry but im confused
anonymous
  • anonymous
Are you listening a + y = 180 degrees ( a straight angle [ i.e. angle of 180 degrees])
anonymous
  • anonymous
okay and?
freckles
  • freckles
|dw:1439576026035:dw| you were given these equations: \[b'=180-(x+10)-(y+5) \\ b'=180-x-10-y-5 \\ b'=(180-10-5)-(x+y) \\ \text{ recall we also have } x+y=90\]
freckles
  • freckles
can you find b'?
anonymous
  • anonymous
|dw:1439576122047:dw|
anonymous
  • anonymous
we are saying b degrees plus b' (the angle inside the triangle next to b is also 180 degrees ( a straight angle)
anonymous
  • anonymous
|dw:1439576211471:dw|
anonymous
  • anonymous
|dw:1439576256448:dw|
anonymous
  • anonymous
@nimcompoop and @freckles described it as b = 180 - b' (@freckles using original equations by @nimcompoop)
anonymous
  • anonymous
got it nvm this was super easy i followed the rule that |dw:1439576326648:dw|
anonymous
  • anonymous
exterior angle equal to the sum of the two interior opposite angles
anonymous
  • anonymous
what was the method u guys were talking about
anonymous
  • anonymous
All that @freckles said was if b + b' = 180 and the sum of all the angles in the triangle equals 180 degrees then b' + (x + 10) + (y+5) must equal 180 degrees
anonymous
  • anonymous
yea i got that what's next
anonymous
  • anonymous
what about the other triangle, did you get that?
anonymous
  • anonymous
yea its a = 90+x
freckles
  • freckles
this is where I was going: |dw:1439576736012:dw| \[b'=180-(x+10)-(y+5) \\ b'=180-x-10-y-5 \\ b'=(180-10-5)-(x+y) \\ \text{ recall we also have } x+y=90\] \[b'=165-90 \\ b'=75 \\ \text{ now realize } \\ y+a=b+b' \\ y+a=b+75 \\ \text{ then solve for } a \\ a=b-y+75\]
anonymous
  • anonymous
whered the 165 come from
anonymous
  • anonymous
so, firstly expres b in tems of x and y
freckles
  • freckles
180-10-5
anonymous
  • anonymous
got it thanks
anonymous
  • anonymous
Well done @freckles!
nincompoop
  • nincompoop
The simplest exposition (minus all the details), would be a+y = 180 b + b' = 180 so a+y = b+b' we want to solve for a, then it follows a = b+b' -y the rest of the details can be plugged in from the information of the other triangle containing b'
nincompoop
  • nincompoop
haha I didn't even notice that the other triangle was a right-triangle I am not sure if there is such a rule |dw:1439579564602:dw|
anonymous
  • anonymous
there is
nincompoop
  • nincompoop
whatever rule it is, can be figured out without any prior knowledge of it.

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