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- 139 bytes (21 words) - 21:18, 20 October 2024
- 21 bytes (3 words) - 13:58, 30 October 2024
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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 In these proofs, we will let <math>ABC</math> be any right triangle with a right angle at <math>\angle ACB</math>, and we use <math>[ABC]</math> to de6 KB (996 words) - 17:49, 22 March 2025
- ...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) - 00:58, 18 November 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 onl2 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 (216 words) - 00:23, 6 September 2024
- <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) }10967 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 number2 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 (395 words) - 23:29, 3 December 2024
- 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 (335 words) - 05:52, 18 December 2024
- <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}</ma1 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\text2 KB (302 words) - 01:57, 18 October 2024
- 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 infor14 KB (1,920 words) - 21:39, 27 March 2025
- 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 (1,806 words) - 06:07, 19 June 2024
- ...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 the1 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
