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  • Mr. Earl E. Bird gets up every day at 8:00 AM to go to work. If he drives at an average speed of 40 miles per hour, he will be
    12 KB (1,792 words) - 12:06, 19 February 2020
  • ...rpose of labeling. Clearly, the dividing segment in <math>DEFG</math> must go through one of its vertices, [[without loss of generality]] <math>D</math>.
    4 KB (647 words) - 16:43, 23 November 2024
  • ..., at the end of 6 steps. We will also count it even if we go to (2,2), and go back to (2,2). So, there are 2 different paths for the object to end at (2, 1.To go a permutation of R,R,R,U,U,L or
    3 KB (602 words) - 22:15, 16 June 2019
  • ...of the others, so it goes on the C-face. 4(6) has only one B-face it can go to, while 2 and 3 (7 and 8) can be assigned randomly to the last two. 2 po *2358 (2578): 5 cannot go on any of the B-faces, so it must be on the C-face. 3 and 8 (2 and 7) have
    11 KB (1,836 words) - 20:08, 26 August 2024
  • ...and <math>HG = 2 GO</math>. Then the triangles <math>AGH</math>, <math>A'GO</math> are [[similar]] by side-angle-side similarity. It follows that <mat
    6 KB (875 words) - 01:22, 19 February 2025
  • ...]]s. Just remove an edge in the loop. We are still connected since you can go around the other way in the loop. Now we have no loops. Each vertex can hav
    10 KB (1,878 words) - 13:56, 30 June 2021
  • ...bra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki go to User:Azjps/geogebra */
    14 KB (1,970 words) - 16:02, 18 August 2023
  • ...rt from the top square containing the number <math>3</math>. In each step, go to either of the two squares immediately below. Stop when the bottom row is
    11 KB (1,738 words) - 18:25, 10 March 2015
  • ...ra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki, go to User:Azjps/geogebra */ ...ra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki, go to User:Azjps/geogebra */
    6 KB (703 words) - 20:21, 21 April 2014
  • ...ra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki, go to User:Azjps/geogebra */ ...ra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki, go to User:Azjps/geogebra */
    7 KB (918 words) - 15:15, 22 April 2014
  • .... So we let <math>DE=x</math>. Thus <math>EF=EB=FB=x\sqrt{2}</math>. If we go angle chasing, we find out that <math>\angle AEB=75^{\circ}</math>, thus <m
    4 KB (710 words) - 12:59, 1 November 2024
  • ...ra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki, go to User:Azjps/geogebra */ ...ra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki, go to User:Azjps/geogebra */
    15 KB (2,057 words) - 18:13, 10 March 2015
  • Because these are radii, <math>\overline{GO} = \overline{OE} = \overline{OF} = 4x</math>. <math>\overline{OF} \perp \ov
    3 KB (520 words) - 18:12, 20 November 2023
  • ...artesian plane over the x-axis)! If you're familiar with inversion you can go plot the inverted figure's Cartesian Plane Equivalent. Then simply continue
    6 KB (894 words) - 17:56, 25 December 2022
  • In cases 1 and 2, the white balls must go in the blank surrounded on either side by the red balls. In the last two cases, the two white balls and the blue ball can go anywhere in those three blanks, because they are separated by a red ball. S
    4 KB (663 words) - 12:49, 7 June 2021
  • A 16-step path is to go from <math>(-4,-4)</math> to <math>(4,4)</math> with each step increasing e
    12 KB (1,817 words) - 14:00, 12 August 2020
  • A 16-step path is to go from <math>(-4,-4)</math> to <math>(4,4)</math> with each step increasing e Each path must go through either the second or the fourth quadrant.
    8 KB (1,440 words) - 20:18, 25 October 2024
  • ...ra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki, go to User:Azjps/geogebra */
    55 KB (7,998 words) - 15:07, 16 September 2024
  • ...t <math>(1,1,0)</math>, and finally <math>(1,1,1)</math>. She is forced to go this way because she cannot end up on <math>(1,0,0)</math>. At the start, s
    4 KB (710 words) - 09:04, 17 August 2023
  • ...s go home on the school bus. One fourth go home by automobile. One tenth go home on their bicycles. The rest walk home. What fractional part of the s
    14 KB (2,096 words) - 17:29, 2 January 2023

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