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Poziţie	Fraza	Pagină	Fragment
1	angle abc 70 circ	/wiki/index.php/2008_AMC_10B_Problems/Problem_24?srsltid=AfmBOooH0b2VQ6r-5Z5nfOA4BVqNJ9K5XbLao39YUSNWdwMLghpE5GbD	2008 AMC 10B Problems/Problem 24 - AoPS Wiki Problem. Quadrilateral $ABCD$ has $AB = BC = CD$ , $ m\angle ABC = 70^\circ $ and $m\angle BCD = 170^\circ$ . What is the degree measure of $\angle BAD$ ?
1	sqrt x 1 sqrt 2x 1	/wiki/index.php/1959_IMO_Problems/Problem_2?srsltid=AfmBOor2fnDU2rKFfYY69gOnqydPfrBvQ9H7KWibKEvWiXkmGlSaTeRp	1959 IMO Problems/Problem 2 - AoPS Wiki Problem. For what real values of $ x $ is. $\ sqrt {x+\ sqrt { 2x - 1 }} + \ sqrt . given (a) $A=\ sqrt {2}$ , (b) $A= 1 $ , (c) $A=2$ , where only non-negative real ...
1	frac 1 12 cdot 5	/wiki/index.php/2000_AIME_I_Problems/Problem_5?srsltid=AfmBOoqB4V-Ss19eYXFESFI3q2m7hD48SX0mYdd959yXXHCX2Zzd5ZZX	2000 AIME I Problems/Problem 5 - AoPS Wiki Problem. Each of two boxes contains both black and white marbles, and the total number of marbles in the two boxes is $25.$ One marble is taken out of each ...
2	c frac 4 5	/wiki/index.php?title=2026_AIME_I_Problems/Problem_10&srsltid=AfmBOoqQ8imAk5kmS4wkY35hbH1Z-k_71qC_UdzVkMADSkSiSDo9vs8R	2026 AIME I Problems/Problem 10 - AoPS Wiki \[\cos\theta = \ frac { 4 }{ 5 },. To rotate about $O = \left(7,\ frac {33}{8} , for ... \[ C ' = \left(\ frac {81}{8} \[B' = \left(-\ frac {43}{40. Using the shoelace ...
3	frac 2 5 cdot 0 6	/wiki/index.php?title=2025_AMC_12A_Problems/Problem_6&srsltid=AfmBOorxrlEaUl0weepqx42ocjeD7h4tV_qYepzSVYxfGtcoJihaYW2R	2025 AMC 12A Problems/Problem 6 - AoPS Wiki $3$ : The first teacher sits one chair away from the first student with $\ frac { 2 }{ 5 }$ probability because there are $2$ seats that are one ...
3	3 cdot 7 6 cdot 8	/wiki/index.php/2024_AMC_10A_Problems/Problem_7?srsltid=AfmBOooNcfIleWMxwB_h4Fqx-BNjQTB_Mu6mYWET4td-v9i1AF1sni_R	2024 AMC 10A Problems/Problem 7 - AoPS Wiki Problem. The product of three integers is $60$ . What is the least possible positive sum of the three integers? $\textbf{(A) }2\qquad\textbf{(B ...
3	y frac 1 x b a	/wiki/index.php/Ceva%27s_Theorem?srsltid=AfmBOoqYWXsQ3Ad5ylmMu5-WR55EkCGDeshjWFcKy78UTXA1dOhOAQ3w	Ceva's Theorem - AoPS Wiki $ y =\ frac { 1 -f}{f}x$. Multiplying the three together yields the solution to the ... [ XBA ]} = \ It follows that \[\ frac {\sin BAD}{\sin DAC} \cdot \[\qquad ...
4	1 8 3 7 cdot 4 6	/wiki/index.php/2023_AMC_12A_Problems/Problem_12?srsltid=AfmBOornT9OCeiBvlob5CZOuvsEwegmcYaURy5FnaxuoA-IkhBx-4Xk-	2023 AMC 12A Problems/Problem 12 To solve this problem, we will be using difference of cube, sum of squares and sum of arithmetic sequence formulas.
4	frac 1 6 a b	/wiki/index.php/2009_AMC_10B_Problems/Problem_20?srsltid=AfmBOooccLiIZjdYX6XjDkJ75MuRpH1ygo6fRvL6IQwacAh5hK34SMKL	2009 AMC 10B Problems/Problem 20 - AoPS Wiki Triangle $ABC$ has a right angle at $B$, $AB=1$, and $BC=2$. The bisector of $\angle BAC$ meets $\overline{BC}$ at $D$. What is $BD$?
4	12 cdot frac 5 12	/wiki/index.php/2017_AMC_10B_Problems/Problem_21?srsltid=AfmBOoq_biCSGjC4jcfqcA44CDeVprCvDOmdj5nyu5Svu25HelNNyT7s	2017 AMC 10B Problems/Problem 21 - AoPS Wiki Problem. In $\triangle ABC$ , $AB=6$ , $AC=8$ , $BC=10$ , and $D$ is the midpoint of $\overline{BC}$ . What is the sum of the radii of the circles inscribed ...

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Poziţie	Fraza	Pagină	Fragment
3	12 cdot 0 2	/wiki/index.php/Decimal	Art of Problem Solving Therefore, $ 2 .5 \ cdot 0 . 12 = 0 .3$ . In similar problems, we can extract whole numbers, multiply in a way similar to integers, and count decimal places to get the final answer.
5	mathrm b 5	/wiki/index.php/1950_AHSME_Problems/Problem_16	Art of Problem Solving Using the binomial theorem, we can see that the number of terms is $\boxed{\ mathrm {( B )}\ 5 }$ .
9	9 6 sqrt 2	/community/c5h414405p2330104	sqrt ( 9 - 6 \ sqrt ( 2 )+\ sqrt ( 9 + 6 \ sqrt ( 2 ) We get that can either be $\ sqrt { 6 }$ or $\ sqrt {3}$ . When we plug in each value, we get the other. For the next part, since the only thing that is different is the sign on the second term, it would just have a different sign where we would solve wit

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