anonymous
  • anonymous
1. Angle C is an inscribed angle of circle P. Angle C measures (3x + 5)° and arc AB measures (16x)°. Find x. 2.Circles M and K are congruent and QR is congruent to LN. Find QR.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Mertsj
  • Mertsj
The inscribed angle = 1/2(the intercepted arc)
Mertsj
  • Mertsj
For the second one I have no idea what QR and LN represent so can't help with that one.
anonymous
  • anonymous
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anonymous
  • anonymous
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anonymous
  • anonymous
@Mertsj thanks but I still don't get it
anonymous
  • anonymous
For #2, if they are congruent, then it means they are equal.
anonymous
  • anonymous
\[\huge QR≅LN\]\[\huge 5x=3x+54\]
anonymous
  • anonymous
Once you solve for x, plug that number in the x of QR.
anonymous
  • anonymous
@mathway okay I tried to plug it in this is how I did it
anonymous
  • anonymous
|dw:1438476376640:dw|
anonymous
  • anonymous
You shouldn't add 3x. You should subtract it. :)
anonymous
  • anonymous
|dw:1438476544000:dw|
anonymous
  • anonymous
thank you my X was 27 and then I did 5(27) and that gave me 135 thank you :)
anonymous
  • anonymous
Yes that's right. @Juicy1116 :)
anonymous
  • anonymous
I also wanted to know is the first problem similar to this way I worked it out
anonymous
  • anonymous
Can you show your work?
anonymous
  • anonymous
Like what Mertsj said, the formula is the inscribed angle = 1/2(the intercepted arc).
anonymous
  • anonymous
Or if you don't want to deal with fractions,\[2\times m∠C=arc AB\]
anonymous
  • anonymous
l|dw:1438476983732:dw|
anonymous
  • anonymous
Hmm do you mean like this I'm kinda lost :(
anonymous
  • anonymous
You flipped the arc and the angle.
anonymous
  • anonymous
What is the measure of angle C?
anonymous
  • anonymous
\[\huge 2\times m∠C=arc AB\]\[\huge 2(3x+5)=16x\]
anonymous
  • anonymous
I hope you can find the x now.
anonymous
  • anonymous
Did you get it?
anonymous
  • anonymous
Not quite but I got 5 so I think that's right
anonymous
  • anonymous
Do you know how to distribute 3 to 3x+5? What class are you taking?
anonymous
  • anonymous
@mathway I'm trying to. Can you explain please
anonymous
  • anonymous
|dw:1438479969346:dw|

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