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- <math> \textbf{(A)}\ \frac{\sqrt{3}}{3} \qquad\textbf{(B)}\ \frac{\sqrt{3}}{2} \qquad\textbf{ Suppose that <math>P</math> is a point in the rhombus <math>ABCD</math> and let <math>\ell_{BC}</math> be th7 KB (1,155 words) - 21:05, 19 June 2024
- label("$A$",(0,0),SW); <math>\text{(A)}\ 6 \qquad \text{(B)}\ 7 \qquad \text{(C)}\ 8 \qquad \text{(D)}\ 9 \qquad4 KB (655 words) - 05:21, 12 March 2024
- for (int a = 0; a < 5; ++a) dot((a,b));3 KB (378 words) - 11:31, 27 June 2023
- If <math>\angle A = 60^\circ </math>, <math>\angle E = 40^\circ </math> and <math>\angle C = pair A,B,C,D,EE;875 bytes (139 words) - 00:13, 5 July 2013
- ...irc </math>. What is the smallest possible degree measure for <math>\angle CBD</math>? <math> \textbf{(A)}\ 0\qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ 4\qquad\textbf{(D)}\ 6\qquad\t882 bytes (131 words) - 13:56, 1 July 2023
- {{AMC10 Problems|year=2012|ab=A}} Cagney can frost a cupcake every <math>20</math> seconds and Lacey can frost a cupcake every <math>30</math> seconds. Working together, how many cupcakes13 KB (1,994 words) - 01:31, 22 December 2023
- On a particular January day, the high temperature in Lincoln, Nebraska, was <mat <math>\textbf{(A)}\ -13 \qquad \textbf{(B)}\ -8 \qquad \textbf{(C)}\ -5 \qquad \textbf{(D)}\15 KB (2,458 words) - 23:05, 4 July 2024
- ...ar with <math>\angle DBA = \angle DCB</math> and <math>\angle ADB = \angle CBD</math>. Moreover, the angles in each of these two triangles also form an ar <math>\textbf{(A)}\ 210 \qquad \textbf{(B)}\ 220 \qquad \textbf{(C)}\ 230 \qquad \textbf{(D)3 KB (443 words) - 12:32, 8 January 2021
- Draw in the diagonals of a regular octagon. What is the sum of all distinct angle measures, in degree Alvin, Simon, and Theodore are running around a <math>1000</math>-meter circular track starting at different positions. Al7 KB (1,173 words) - 21:04, 7 December 2018
- MP("A", (-10,-2), W); ...gle <math>ABC</math> is inscribed in a circle with center <math>O'</math>. A circle with center <math>O</math> is inscribed in triangle <math>ABC</math>2 KB (355 words) - 18:52, 22 April 2024
- <math> \textbf{(A)}\ \sqrt{2}\qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ 4\qquad\textbf{(D)}\ 8\ <math> \textbf{(A)}\ \sqrt{3}\qquad\textbf{(B)}\ \sqrt{5}\qquad\textbf{(C)}\ 3\qquad\textbf{(17 KB (2,633 words) - 15:44, 16 September 2023
- ...ath>. If perpendiculars constructed to <math>\overline{AB}</math> at <math>A</math> and to <math>\overline{BC}</math> at <math>C</math> meet at <math>D< <math>\text{(A) } 3\quad3 KB (523 words) - 16:23, 24 October 2022
- pair A = (0, 0), B = (16, 0), C = (20, 0), D = (8, 8*sqrt(3)), EE = (18, 2*sqrt(3) draw(A--B--D--cycle);5 KB (852 words) - 00:12, 8 May 2024
- ...way to continue with a finite sequence of moves so as to obtain in the end a constant sequence. ...n segment <math>\overline{PQ}</math>, show that <math>M</math> moves along a circle.3 KB (565 words) - 16:42, 5 August 2023
- real c=8.1,a=5*(c+sqrt(c^2-64))/6,b=5*(c-sqrt(c^2-64))/6; pair A=(0,0),B=(c,0),D=(c/2,-sqrt(25-(c/2)^2));15 KB (2,694 words) - 13:36, 16 July 2024
- ...math>Y</math> on segment <math>\overline{AC}</math> such that <math>\angle CBD=\angle YBA</math> and <math>\angle CDB=\angle YDA</math>. ...onic quadrilateral. By symmetry, if <math>Y</math> exists, then <math>(B,D;A,C)=-1</math>. We have shown the two conditions are equivalent, whence both2 KB (354 words) - 10:20, 23 April 2023
- ...teral inscribed in a circle <math>\omega</math>, and let <math>P</math> be a point on the extension of <math>AC</math> such that <math>PB</math> and <ma ...th>ABCD</math> is harmonic, hence the tangents at <math>C</math> and <math>A</math> concur on <math>BD</math> at <math>X</math>, say.5 KB (927 words) - 21:28, 28 May 2016
- pair A = dir(20), B = dir(130), C = dir(240), D = dir(330); pair F = 3(A-B) + B;1 KB (200 words) - 12:30, 21 November 2016
- Let <math>ABCD</math> be a convex quadrilateral with <math>AB = CD = 10</math>, <math>BC = 14</math>, ...,0), B=IP(CR(A,10),CR(C,14)), D=OP(CR(A,2*sqrt(65)),CR(C,10)), P=extension(A,C,B,D);18 KB (2,912 words) - 13:12, 24 January 2024
- ...uch that <math>a^{3}=6(a+1)</math>. Prove that the equation <math>x^{2}+ax+a^{2}-6=0</math> has no real solution. ...ateral with <math>\angle{DAC}= \angle{BDC}= 36^\circ</math> , <math>\angle{CBD}= 18^\circ</math> and <math>\angle{BAC}= 72^\circ</math>. The diagonals and1 KB (170 words) - 18:03, 26 February 2024