Mathematics
9 Online
faithkristine:
ss below
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faithkristine:
faithkristine:
wrong ss
faithkristine:
faithkristine:
@AZ
AZ:
okay, remember how everything adds up to 360?
So do you see on the outside of the circle, we have
54, 110, 130 and JK
that all adds up to 360
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faithkristine:
ok
AZ:
But first, let's solve for 'b'
Do you see how the angle and the arc go together?
AZ:
if the arc is 110
what is the value of the inscribed angle?
AZ:
then to find the value of b, you just have to divide by 4
since 4b = that inscribed angle
faithkristine:
ok you lost me
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AZ:
Okay so forget that it says 4b
We just have something like this. What is the angle??
|dw:1619919540359:dw|
AZ:
oh wait I'm dumb
faithkristine:
lol
AZ:
@az wrote:
okay, remember how everything adds up to 360?
So do you see on the outside of the circle, we have
54, 110, 130 and JK
that all adds up to 360
We need to first calculate what JK is
54 + 110 + 130 + JK = 360
AZ:
what is JK equal to?
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faithkristine:
like the angle or letters?
AZ:
uhh the letters are representing the angle
AZ:
think of it like an 'x'
54 + 110 + 130 + x = 360
faithkristine:
so find x?
AZ:
yes
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faithkristine:
66
faithkristine:
??
AZ:
yes
faithkristine:
so is that a or b
AZ:
Neither
What is 110 + 66 = ?
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faithkristine:
176
AZ:
So the entire JKL is 176
|dw:1619920166413:dw|
If the arc is 176
then the inscribed angle is going to be half of that which is what?
faithkristine:
88
AZ:
okay and that angle is equal to 4b
so
4b = 88
then what is b equal to?
faithkristine:
88?
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faithkristine:
haha im not confident in this as you can see
AZ:
how?
faithkristine:
wym how
AZ:
4b = 88
4 times a number equals 88
how would 'b' be equal to 88
faithkristine:
oh i forgot to do that
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faithkristine:
4 times 22 equals 88
AZ:
yes, so b is 22
faithkristine:
ok
AZ:
now for a
what is 54 + 66 = ?
faithkristine:
121
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AZ:
are you sure?
faithkristine:
crap my bad i meant 120
faithkristine:
i thought it said 55+66 not 54
AZ:
so we have
|dw:1619921067167:dw|
what is the inscribed angle if the arc is 120?
faithkristine:
how do i find it again?
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AZ:
inscribed angles are half of the arc
faithkristine:
60
AZ:
yes and now look at your question
the value of that angle says 3a
so that means 3a = 60
what does a equal?
faithkristine:
20?
AZ:
Yup! That's the value of a
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faithkristine:
thanks
AZ:
you're welcome!