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  • ...n [[geometry]], and is one of the many tools in a good geometer's arsenal. A very large number of geometry problems can be solved by building right tria ...let <math>ABC </math> be any right triangle with a right angle at <math>{} C </math>.
    5 KB (886 words) - 21:12, 22 January 2024
  • ...and the third is tangent to the first circle and the <math>y</math>-axis. A circle of radius <math>r > s</math> is tangent to both axes and to the seco <math> (\mathrm {A}) \ 5 \qquad (\mathrm {B}) \ 6 \qquad (\mathrm {C})\ 8 \qquad (\mathrm {D}) \ 9 \qquad (\mathrm {E})\ 10 </math>
    2 KB (307 words) - 15:30, 30 March 2024
  • <math>\textbf{(A)}\ 1 \qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ 3\qquad\textbf{(D)}\ 4\qquad\textbf{(E)}\ 5</math> ...math>5x=15</math>. Solving the equation gives us <math>x = \boxed{\textbf{(C)}\;3}.</math>
    1 KB (190 words) - 10:58, 16 June 2023
  • <math>\textbf{(A)}\ \$37.50 \qquad\textbf{(B)}\ \$50.00\qquad\textbf{(C)}\ \$87.50\qquad\textbf{(D)}\ \$90.00\qquad\textbf{(E)}\ \$92.50</math> ...math>, and they spent <math>50.00+37.50 =\$ 87.50 \implies \boxed{\textbf{(C) }\$ 87.50}</math>.
    1 KB (176 words) - 10:58, 16 June 2023
  • ...xtbf{(A) } -\frac{3}{8} \qquad \textbf{(B) } -\frac{1}{40} \qquad \textbf{(C) } 0 \qquad \textbf{(D) } \frac{3}{8} \qquad \textbf{(E) } \frac{31}{40}</m Do note that the denominator of the answer will be a multiple of 5 and 8 (40) and that the answer will also be negative. The onl
    2 KB (257 words) - 10:57, 16 June 2023
  • A rectangular box has integer side lengths in the ratio <math>1: 3: 4</math>. <math>\textbf{(A)}\ 48\qquad\textbf{(B)}\ 56\qquad\textbf{(C)}\ 64\qquad\textbf{(D)}\ 96\qquad\textbf{(E)}\ 144</math>
    1 KB (184 words) - 13:58, 22 August 2023
  • <math>\textbf{(A)}\ 13\qquad\textbf{(B)}\ 26\qquad\textbf{(C)}\ 102\qquad\textbf{(D)}\ 103\qquad\textbf{(E)}\ 110</math> ...act 1. Because 2 appears 10 times as a tens digit and 2 appears 3 times as a units digit, the answer is <math>10\cdot 10+1\cdot 3=\boxed{\textbf{(D) }10
    967 bytes (143 words) - 03:18, 27 June 2023
  • <math>\textbf{(A)}\ 50 \qquad\textbf{(B)}\ 60 \qquad\textbf{(C)}\ 75 \qquad\textbf{(D)}\ 90 \qquad\textbf{(E)}\ 100</math> Note: if the mean of a set is in the set, it can be discarded and the mean of the remaining number
    2 KB (268 words) - 18:19, 27 September 2023
  • <math>\textbf{(A)}\ 20 \qquad\textbf{(B)}\ 30\qquad\textbf{(C)}\ 35\qquad\textbf{(D)}\ 40\qquad\textbf{(E)}\ 45</math> ...Rightarrow (+40)=70 , \Rightarrow \left(\frac{1}{2}\right)=\boxed{\textbf{(C) }35}</cmath>
    1 KB (169 words) - 14:59, 8 August 2021
  • A triangular array of <math>2016</math> coins has <math>1</math> coin in the <math>\textbf{(A)}\ 6\qquad\textbf{(B)}\ 7\qquad\textbf{(C)}\ 8\qquad\textbf{(D)}\ 9\qquad\textbf{(E)}\ 10</math>
    2 KB (315 words) - 15:34, 18 June 2022
  • A rug is made with three different colors as shown. The areas of the three di <math>\textbf{(A) } 1 \qquad \textbf{(B) } 2 \qquad \textbf{(C) } 4 \qquad \textbf{(D) } 6 \qquad \textbf{(E) }8</math>
    2 KB (337 words) - 14:56, 25 June 2023
  • <math>\textbf{(A)}\ 4\dfrac{3}{5} \qquad \textbf{(B)}\ 5\qquad \textbf{(C)}\ 5\dfrac{1}{4} \qquad \textbf{(D)}\ 6\dfrac{1}{2} \qquad \textbf{(E)}\ 8< ...{2}</math>, and slide the left and right pieces next to each other to form a parallelogram with base <math>1</math> and height <math>\frac{8}{2}</math>.
    8 KB (1,016 words) - 00:17, 31 December 2023
  • .... Which of the following transformations will return <math>\triangle A''B''C''</math> to <math>\triangle ABC</math>? <math>\textbf{(A)}</math> counterclockwise rotation about the origin by <math>90^{\circ}</ma
    1 KB (235 words) - 14:52, 25 June 2023
  • ...<math>1</math> and <math>2016</math>, inclusive. Which of the following is a correct statement about the probability <math>p</math> that the product of ...extbf{(A)}\ p<\dfrac{1}{8}\qquad\textbf{(B)}\ p=\dfrac{1}{8}\qquad\textbf{(C)}\ \dfrac{1}{8}<p<\dfrac{1}{3}\qquad\textbf{(D)}\ p=\dfrac{1}{3}\qquad\text
    2 KB (297 words) - 14:54, 25 June 2023
  • Five friends sat in a movie theater in a row containing <math>5</math> seats, numbered <math>1</math> to <math>5</ma <math>\textbf{(A) }1 \qquad \textbf{(B) } 2 \qquad \textbf{(C) } 3 \qquad \textbf{(D) } 4\qquad \textbf{(E) } 5</math>
    2 KB (402 words) - 14:54, 25 June 2023
  • .... These programs mostly take place during the summer, but some last during a significant portion of the academic year. Selection is important in creatin ...programs listed below offer [[mathematics scholarships]] or financial aid. A few of them are free. When you discover more that do, please add that infor
    14 KB (1,824 words) - 01:56, 2 May 2024
  • Inequalities are arguably a branch of [[elementary algebra]], and relate slightly to [[number theory]]. For two [[number]]s <math>a</math> and <math>b</math>:
    12 KB (1,798 words) - 16:20, 14 March 2023
  • ...b^3 + bx + y = 0</math> and <math> c^3 + cx + y = 0</math>. If <math> a,b,c</math> are all distinct numbers prove that their sum is zero. -y &= a^3 + ax \\
    1 KB (205 words) - 14:05, 30 March 2019
  • <math>\textbf{(A)}\ 19 \qquad \textbf{(B)}\ 21 \qquad \textbf{(C)}\ 23 \qquad \textbf{(D)}\ 29 \qquad \textbf{(E)}\ 17 </math> Define numbers <math>a, b, c,</math> and <math>d</math> to be the four numbers. In order to satisfy the
    1 KB (200 words) - 23:35, 28 August 2020
  • In the diagram, if points <math>A, B</math> and <math>C</math> are points of tangency, then <math>x</math> equals: pair A=(-3*sqrt(3)/32,9/32), B=(3*sqrt(3)/32, 9/32), C=(0,9/16);
    3 KB (415 words) - 18:01, 24 May 2020

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