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• 1995 USAMO Problems/Problem 4
  Since <math>kQ(x)</math> satisfies these relations as well, and <math>kq_m=kQ(m)</math>,
  3 KB (502 words) - 15:27, 11 May 2018
• 1951 AHSME Problems/Problem 27
  <math> \textbf{(E)}\ \text{none of the above relations are true} </math> ...-All of the relationships don't work so we must choose the last choice, no relations.
  2 KB (321 words) - 15:48, 10 September 2018
• 1958 AHSME Problems/Problem 29
  ...h> and <math> \overline{EC}</math> are drawn. Which of the following angle relations is true?
  996 bytes (169 words) - 06:21, 3 October 2014
• 1975 AHSME Problems
  A woman, her brother, her son and her daughter are chess players (all relations by birth). The worst player's twin (who is one of the four players) and the
  16 KB (2,512 words) - 04:48, 27 November 2021
• 2006 iTest Problems
  ...positive reals <math>x</math>, <math>y</math>, <math>z</math> satisfy the relations
  31 KB (4,811 words) - 00:02, 4 November 2023
• MIE 2015/Day 1/Problem 6
  So we got these three relations
  6 KB (962 words) - 00:39, 1 September 2021
• MIE 2015/Day 1/Problem 2
  By Girard's relations (also called Vieta's formulas or Newton's identities),
  650 bytes (110 words) - 14:25, 11 January 2018
• 2018 AIME I Problems/Problem 7
  ...the prism is symmetrical) to all the other 11 vertices. Using Pythagorean relations, we find that the distances are <math>1</math>, <math>\sqrt{3}</math>, <mat
  6 KB (1,023 words) - 10:38, 21 November 2023
• 2019 AMC 12A Problems/Problem 25
  ...</math>, we have <math>x_n=180^\circ-2x_{n-1}</math> (identical recurrence relations can be derived for <math>y_n</math> and <math>z_n</math>). To find an expli
  5 KB (933 words) - 22:23, 2 January 2024
• 2004 IMO Problems
  ...a,b,c</math> such that <math>ab + bc + ca = 0</math> we have the following relations
  3 KB (488 words) - 04:36, 21 February 2021
• 1995 IMO Problems/Problem 4
  ...eal numbers <math>x_0, x_1, x_2,.....x_{1994}, x_{1995}</math> satisfy the relations
  2 KB (389 words) - 03:43, 26 November 2023
• What is the definition of Pure Mathematics?
  ...definition of geometry is ''Geometry is concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs''. Or th
  35 KB (5,882 words) - 18:08, 28 June 2021
• Classical Mechanics
  ...y of (relative) motion - displacement, velocity, acceleration etc. The two relations at the heart of kinematics are:
  3 KB (423 words) - 12:58, 8 July 2019
• 1979 IMO Problems
  ...exists positive reals <math>x_{1}, \ldots, x_{5}</math> which satisfy the relations <math> \sum_{k=1}^{5} kx_{k}=a,</math> <math> \sum_{k=1}^{5} k^{3}x_{k}=a^{
  3 KB (448 words) - 17:10, 29 January 2021
• 1972 AHSME Problems/Problem 25
  ...h>\overline{BD}=x</math> and <math>\angle{DAB}=y</math>. By LoC we get the relations
  1 KB (237 words) - 10:14, 29 January 2021
• 1975 AHSME Problems/Problem 25
  A woman, her brother, her son and her daughter are chess players (all relations by birth). The worst player's twin (who is one of the four players) and the
  2 KB (458 words) - 14:42, 17 August 2021
• 1979 IMO Problems/Problem 5
  ...sts non-negative reals <math>x_{1}, \ldots, x_{5}</math> which satisfy the relations <math> \sum_{k=1}^{5} kx_{k}=a,</math> <math> \sum_{k=1}^{5} k^{3}x_{k}=a^{
  2 KB (391 words) - 10:55, 30 September 2022
• 1991 IMO Problems/Problem 3
  ...s) remove <math> S_{p,q}</math> and so on, and these have similar ordering relations.
  6 KB (911 words) - 17:45, 30 January 2021
• 2021 Fall AMC 12A Problems/Problem 13
  ...> to simplify. By <math>45</math>-<math>45</math>-<math>90</math> triangle relations (or distance formula), <math>AD = 2b\sqrt{2}.</math>
  16 KB (2,526 words) - 00:53, 6 May 2023
• 2022 AMC 12B Problems/Problem 25
  ...\sqrt{2}}{2},</math> and <math>x</math>. By <math>30-60-90</math> triangle relations, the largest altitude of the orange triangle is <math>\frac{x\sqrt{6}}{2}.< ...dot \sqrt{3} =\frac{\sqrt{3}}{2}</math>, by <math>30-60-90</math> triangle relations. The height of the hexagon is twice this value, or <math>\sqrt{3}.</math>
  20 KB (2,980 words) - 18:17, 2 January 2024

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