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OpenStudy (here_to_help15):
OpenStudy (here_to_help15):
@phi
OpenStudy (phi):
how many degrees to go all the way around a circle?
OpenStudy (here_to_help15):
360
OpenStudy (here_to_help15):
@amistre64
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OpenStudy (here_to_help15):
@pooja195
OpenStudy (phi):
yes, 360. notice that your circle is divided into 3 pieces and if you add up the 3 pieces you should get 360
can you write down the "sum" ?
OpenStudy (here_to_help15):
120
OpenStudy (here_to_help15):
@phi
OpenStudy (here_to_help15):
:/
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OpenStudy (phi):
the "numbers" they give you have x's in them
write down all three "expressions"
with a plus sign in between them
OpenStudy (here_to_help15):
What? i dont follow
OpenStudy (here_to_help15):
Oh wait
OpenStudy (here_to_help15):
So
\[ (8x+10) + (6x) + (10x+10)\]
OpenStudy (here_to_help15):
?
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OpenStudy (phi):
yes and that must equal 360
\[ (8x+10) + (6x) + (10x+10) = 360 \]
because they represent the whole circle.
OpenStudy (phi):
although the first term should be 8x-10 (not 8x+10)
OpenStudy (here_to_help15):
Oops sorry
OpenStudy (here_to_help15):
So @phi is 15 ????
OpenStudy (here_to_help15):
is it*
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OpenStudy (here_to_help15):
P.S i just plugged it in :)
OpenStudy (phi):
yes, that is one way to do the problem.
you could also add up the x's
8x+6x+10x= 24x
and -10+10 = 0
so it simplifies to
24x= 360
x= 360/24 = 15
OpenStudy (here_to_help15):
So now part B ?
OpenStudy (phi):
the angles of the triangle are 1/2 the opposite "arcs"
figure out what each arc is (plug 15 into each one )
OpenStudy (here_to_help15):
huh?
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OpenStudy (here_to_help15):
For B i was gonna but isosceles
OpenStudy (phi):
if you get the same number for each arc you have an equilateral triangle.
if 2 out of the 3 are the same, it's isosceles
if all 3 are different , it's scalene
OpenStudy (here_to_help15):
Well yes i summed it up to 2 out of 3
OpenStudy (here_to_help15):
Am i correct?
OpenStudy (phi):
what numbers did you get for
8x-10
6x
10x+10 ?
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OpenStudy (here_to_help15):
I got 110, 90,160
and oops i meant scalene
OpenStudy (phi):
and the actual angles of the triangle are 55, 45 and 80
yes, definitely scalene