You can
put this solution on YOUR website!a circle is 360 degrees.
there are 80 girls.
each girl is 360/80 degrees apart from the other one.
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this equals 4.5 degrees between each girl.
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the girl opposite here would be 180 degrees from her.
180 / 4.5 = 40.
if she was girl number 1, then the girl opposite her would be number 41 because 1 + 40 = 41.
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to see this easier, assume there were 4 girls forming the circle.
360 / 4 = 90 degrees between each of them.
the girl opposite number 1 would be 180 degrees from her. 180/90 = 2. 1+2 = 3
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now if she was girl number 2, then the girl opposite her would be girl number 4.
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if she was girl number 3, then the girl opposite her would be girl number 1 because 3 + 2 = 5 - 4 = 1
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you can count this one out.
girl number 3 + 1 = girl number 4 plus 1 = girl number 5 who is the same as girl number 1.
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the same concept applies to the circle with a larger number of girls.
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80 girls form a circle.
360 degrees in the circle.
4.5 degrees between each girl.
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the girl opposite girl number 1 would be 180/4.5 girls from her which would make her 40 girls from her. 1 + 40 = 41.
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the girl opposite girl number 55 would be 180/4.5 girls from her which would make her 40 girls from her. 55 + 40 = 95 - 80 = number 15.
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the girl opposite girl number 9 would be 180/4.5 girls from her which would make her 40 girls from her. 9 + 40 = girl number 49
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Answer to your question is:
the girl opposite rose who is girl number 55 is girl number 15
the girl opposite nina who is girl number 9 is girl number 49
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A picture of a circle with 16 girls can be found on the following website:
http://theo.x10hosting.com/
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click on problem number 214346. If it's not there when you look, wait 30 minutes and try again.
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In that picture, there are 16 girls.
circle is 360 degrees.
degrees between each girl are 360/16 = 22.5 degrees.
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girl opposite girl number 1 is 180 degrees from her.
180 / 22.5 = 8
girl opposite girl number 1 is 8 girls from her.
1 + 8 = 9
she is girl number 9.
the picture confirms this.
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girl opposite girl number 12 is 8 girls from her.
12 + 8 = 20
20 is greater than 16 which is the number of girls, so we subtract 16 from 20 to get:
20-16 = 4
girl opposite girl number 12 is girl number 4
picture confirms that.
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