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| | I did everything related to the [[ Mock AIME 3 Pre 2005]] | | I did everything related to the [[ Mock AIME 3 Pre 2005]] |
| | all in one edit - each solution page, the answers, and the entire aime page. | | all in one edit - each solution page, the answers, and the entire aime page. |
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| − | Hmmm... I think dollars signs convert automatically to math symbols
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| − | <pre> <math>ab</math> </pre>
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| − | <math>ab</math>
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| − |
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| − | <asy>
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| − | import graph;
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| − | import markers;
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| − | unitsize(3cm);
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| − | int n=18;
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| − | real a=360/n;
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| − | for (int i = -3; i < n-4; ++i)
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| − | {
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| − | draw(dir(i*a)--dir((i+1)*a),.5+black);
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| − | }
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| − | for (int i = -2; i < n-4; ++i)
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| − | {
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| − | draw(dir(i*a)--2*dir(i*a)-dir((i-1)*a),blue);
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| − | markangle(scale(.7)*"<math>\theta</math>",radius=15,2*dir(i*a)-dir((i-1)*a),dir(i*a),dir((i+1)*a),ArcArrow(1mm),.5+blue);
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| − | }
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| − | markangle(scale(.7)*"<math>\theta</math>",radius=15,2*dir(15*a)-dir(14*a),dir(15*a),dir(16*a),ArcArrow(1mm),.5+blue);
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| − | draw(dir(14*a)--6*dir(14*a)-5*dir(13*a));
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| − | label("<math>\ell</math>",(7*dir(14*a)-5*dir(13*a))/2,S);
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| − | label("<math>m</math>",(7*dir(15*a)-5*dir(14*a))/2,dir(3*a));
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| − | label(scale(.8)*"<math>180-\theta</math>",.95*dir(14*a),dir(5*a),red);
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| − | draw(dir(14*a)--6*dir(15*a)-5*dir(14*a));
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| − | markangle("<math>\theta</math>",radius=60,2*dir(14*a)-dir(13*a),dir(14*a),dir(15*a),ArcArrow(1mm),.5+red);
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| − | </asy>
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| − | <asy>
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| − | import graph;
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| − | import markers;
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| − | import geometry;
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| − | unitsize(1inch);
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| − | int n=18;
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| − | real a=360/n;
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| − | pair A = dir(0);
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| − | pair B = A+dir(40);
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| − | pair C = B+dir(120);
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| − | pair D = C+dir(220);
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| − | pair E = D+dir(240);
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| − | real w=.5+sin((7*pi)/18);
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| − | picture pic,picc;
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| − | draw(pic,origin--.5*A--.5*B--.5*C--.5*D--.5*E);
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| − | draw(picc,origin--A--B--C--D--E);
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| − | label(picc,shift(5*dir(6*a))*"<math>\alpha</math>",A,dir(6*a));
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| − | label(picc,shift(10*dir(9*a))*"<math>\beta</math>",B,dir(9*a));
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| − | label(picc,shift(10*dir(13*a))*"<math>\gamma</math>",C,dir(13*a));
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| − | label(picc,shift(5*dir(16*a))*"<math>\delta</math>",D,dir(16*a));
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| − | label(picc,shift(10*dir(1.5*a))*"<math>\epsilon</math>",E,dir(1.5*a));
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| − | add(shift(3.5*dir(200))*picc);
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| − | for (real i = 1; i <= 6; i+=1)
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| − | {
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| − | add(rotate(60*i)*pic);
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| − | add(shift(.5*dir(60*i-60))*rotate(60*i+280)*pic);
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| − | add(shift(w*dir(60*i-60))*rotate(60*i+140)*pic);
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| − | }
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| − | </asy>
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