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• 2014 AMC 8 Problems/Problem 15
  The circumference of the circle with center <math>O</math> is divided into <math>12</math> equal arcs, marked the letters <math pair O=origin;
  2 KB (280 words) - 19:06, 17 June 2024
• 2015 UNCO Math Contest II Problems
  pair A=dir(90),B=dir(210),C=dir(330),O=(0,0); draw(circle(O,1),black);
  7 KB (1,151 words) - 15:11, 20 August 2020
• 2015 UNCO Math Contest II Problems/Problem 9
  pair A=dir(90),B=dir(210),C=dir(330),O=(0,0); draw(circle(O,1),black);
  885 bytes (141 words) - 03:36, 13 January 2019
• 2015 AMC 10A Problems
  ...<math>10</math> cm externally tangent to the clock face at <math>12</math> o'clock. The disk has an arrow painted on it, initially pointing in the upwar ...'clock} \qquad\textbf{(D) }\mathrm{6 o'clock} \qquad\textbf{(E) }\mathrm{8 o'clock} </math>
  12 KB (1,887 words) - 08:13, 6 June 2024
• 2015 AMC 10A Problems/Problem 14
  ...<math>10</math> cm externally tangent to the clock face at <math>12</math> o' clock. The disk has an arrow painted on it, initially pointing in the upwa ...o' clock} \qquad\textbf{(D) }\text{6 o' clock} \qquad\textbf{(E) }\text{8 o' clock}</math>
  9 KB (1,380 words) - 09:00, 1 December 2023
• 2015 AMC 10B Problems/Problem 19
  ...th>. Draw perpendiculars to <math>ZW</math> and <math>YX</math> from <math>O</math>, and connect <math>OZ</math> and <math>OY</math>. <math>OY^2=6^2+12^ label("$O$", (5.52,-1.82), NE * labelscalefactor);
  9 KB (1,171 words) - 21:12, 25 August 2023
• 2015 AIME I Problems/Problem 15
  ...math>, and the center of the cylinder as <math>O</math>, such that <math>C,O,</math> and <math>A</math> are collinear. Let <math>N</math> be the center ...th <math>\overarc{AB}</math> = <math>\overarc{CD}</math> = <math>120^\text{o}</math>. Using 30-60-90 triangles, we get rectangle <math>ABCD</math> to ha
  9 KB (1,407 words) - 19:37, 17 February 2024
• 2015 AIME I Problems/Problem 11
  ...ngle ABD \cong \triangle ACD</math>, so <math>\angle ADB = \angle ADC = 90^o</math>.
  5 KB (906 words) - 17:43, 27 September 2023
• 2015 AIME I Problems/Problem 6
  pair A,B,C,D,E,F,G,H,I,O; O=(0,0);
  5 KB (782 words) - 16:04, 21 July 2023
• 2015 AIME II Problems
  ...ABC</math> has center <math>O</math>. The line passing through point <math>O</math> perpendicular to <math>\overline{OB}</math> intersects lines <math>A
  8 KB (1,326 words) - 19:15, 13 January 2024
• 2015 AIME II Problems/Problem 11
  ...ABC</math> has center <math>O</math>. The line passing through point <math>O</math> perpendicular to <math>\overline{OB}</math> intersects lines <math>A pair A,B,C,O, Q, P, M, N;
  9 KB (1,249 words) - 21:59, 26 November 2023
• 2015 AIME II Problems/Problem 15
  Let the center of the larger circle be <math>O,</math> and the center of the smaller circle be <math>P.</math> It is not h
  31 KB (5,086 words) - 19:15, 20 December 2023
• 2016 AMC 10A Problems/Problem 24
  pair A, B, C, D, E, F, O; O=(0,0);
  24 KB (3,861 words) - 14:17, 26 April 2024
• 2015 USAMO Problems/Problem 2
  ...onsider the homothety of scale factor <math>\frac{2}{3}</math> about <math>O</math> mapping <math>N_9</math> to <math>G</math>. This means that the locu
  5 KB (902 words) - 09:58, 20 August 2021
• 2015 USAJMO Problems/Problem 3
  pair O=(0,0); pair S=intersectionpoints(A--Y,circle(O,1))[1];
  4 KB (760 words) - 16:45, 29 April 2020
• Aops font
  | o | <span class="aops-font">o</span>
  6 KB (924 words) - 21:31, 22 February 2024
• 1954 AHSME Problems/Problem 50
  The times between <math>7</math> and <math>8</math> o'clock, correct to the nearest minute, when the hands of a clock will form a ...h> o'clock position, and the minute hand is exactly at the <math>12</math> o'clock position. Thus the minute hand is <math>360^{\circ}-210^{\circ}=150^{
  2 KB (361 words) - 11:59, 21 January 2021
• 1982 AHSME Problems/Problem 14
  ...circle <math>O, N</math>, and <math>P</math>, respectively. Circles <math>O, N</math>, and <math>P</math> all have radius <math>15</math> and the line ...el("$D$", D, dir(0)); label("$P$", P, S); label("$N$", N, S); label("$O$", O, S); label("$E$", E, dir(120)); label("$F$", F, NE); label("$G$", G, dir(10
  1 KB (248 words) - 22:35, 16 August 2022
• 2004 IMO Problems/Problem 1
  ...</math> at <math>M</math> and <math>N</math> respectively. Denote by <math>O</math> the midpoint of the side <math>BC</math>. The bisectors of the angle pair A,B,C,O,K,M,N,R,D;
  5 KB (941 words) - 00:51, 19 November 2023
• 2017 AIME I Problems
  ...and uniformly at random from the interval <math>(0, 75)</math>. Let <math>O</math> and <math>P</math> be two points on the plane with <math>OP = 200</m
  7 KB (1,163 words) - 16:43, 2 June 2022

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