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• 2015 USAMO Problems/Problem 2
  ...ga</math> again at <math>S</math> (other than <math>A</math>). Point <math>T</math> lies on arc <math>AQB</math> of <math>\omega</math> such that <math> Let angle <math>\angle XAB=A</math>, which is an acute angle, <math>\tan{A}=t</math>, then <math>X=(1-a,at)</math>.
  5 KB (902 words) - 09:58, 20 August 2021
• Aops font
  | <span class="aops-font">V</span> | V
  6 KB (924 words) - 21:31, 22 February 2024
• Mock AIME 3 2010 Problems
  . Let ω, with center I, be the circumcircle of 4abc, and let Γ, with center O, be the incircle of 4abc. Let Let g(1) = f(1, 1, 1), and let g(n) = f(g(n − 1), n, n) for n ≥ 2. Find g(2010).
  14 KB (2,904 words) - 18:24, 16 May 2017
• 2017 AMC 12A Problems
  ...s are again at the starting point. What is the sum of the digits of <math>T</math>? ...^3 + ax^2 + x + 10</cmath>has three distinct roots, and each root of <math>g(x)</math> is also a root of the polynomial <cmath>f(x) = x^4 + x^3 + bx^2 +
  15 KB (2,418 words) - 16:58, 7 November 2022
• 2021 AIME I Problems/Problem 13
  .../math> with line <math>\overline{DE}</math>. Denote by <math>O_{1}, O_{2}, O</math> the centers of <math>\omega_{1}, \omega_{2}, \omega</math> respectiv ...0^{\circ}=2</cmath> as well. It follows that <cmath>O_{1}O_{2}=O_{1}G-O_{2}G=2(O_{1}D-O_{2}E)=2(961-625)=\textbf{672}.</cmath>
  17 KB (2,852 words) - 03:59, 7 February 2024
• 2021 Fall AMC 10B Problems/Problem 25
  ...the small congruent triangles with length <math>a,3a</math>. Since we don't know its scale, we'll label its sides <math>c,3c</math>. ...ht)</math>, <math>F = \left( \frac{9}{\sqrt{10}} , 0 \right)</math>, <math>G = \left( \frac{1}{\sqrt{10}} , \frac{6}{\sqrt{10}} \right)</math>, <math>H
  16 KB (2,274 words) - 09:02, 10 December 2022
• 2024 AMC 8 Problems
  typedef pair quad_bezier(real t); return new pair (real t) {
  22 KB (2,999 words) - 13:19, 29 June 2024
• Xosomiennamxsmn
  ...ng, h&atilde;y c&ugrave;ng l&yacute; giải qua b&agrave;i viết chi tiết dưới đ&acirc;y nh&eacute;:&nbsp;</span></em></strong></p>
  11 KB (2,230 words) - 23:24, 9 May 2023
• 2023 AMC 12B Problems/Problem 25
  Let the original pentagon be <math>ABCDE</math> centered at <math>O</math>. The dashed lines represent the fold lines. WLOG, let's focus on ver ...ion of <math>AO</math> and the creaseline between <math>A</math> and <math>O</math>. Note that the inner pentagon is regular, and therefore similar to t
  19 KB (2,971 words) - 00:31, 4 June 2024
• DVI exam
  DVI is an exam in mathematics at the Moscow State University named after M.V. Lomonosov. The first four problems have a standard level. <cmath>\left\{\begin{array}{l} u = \sqrt {2} (x + y),\\v = 3y.\end{array}\right.</cmath>
  33 KB (5,611 words) - 02:05, 19 June 2024

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