What is the degree measure of angle BCD A B C D E A 120 B 125 C 130 D 135 E 140

What is the degree measure of angle bcd a b c d e a

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4 : 5. What is the degreemeasure of angleBCD?ABCDE(A)120(B)125(C)130(D)135(E)1402010 AMC 10 B, Problem #162010 AMC 12 B, Problem #14“AngleEABis90because it subtends a diameter.”
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Regular hexagonABCDEFis rotated 360 degreesin the plane about pointA. What is the ratio of thearea swept out byABto the area swept out byAD? (A) 3 16 (B) 3 12 (C) 1 4 (D) 1 3 (E) 1 2 2010 AMC 10 B, Problem #17 “The diameter of a regular hexagon is twice the length of its side.” Solution
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The AMC exam replaced the AHSME, which was a 30-question test with each correct response earning 5 points and each blank earning 2 points. The AMC scoring in 2009 awarded 6 points for each correct response and 1 . 5 points for a blank on that 25- question test. In 1986, Shaun’s mother took the AHSME. Last year Shaun took the 2009 AMC. Each of them answered the same number of questions, did not get any question wrong, and achieved the same score. What is this score? (A) 102 (B) 105 (C) 107 (D) 110 (E) 112 2010 AMC 10 B, Problem #18 2010 AMC 12 B, Problem #8 “Let n equal the number of questions Shaun and Shaun’s mother each answered correctly.” Solution Answer (B): Let n equal the number of questions Shaun and Shaun’s mother each answered correctly. Then the AHSME score is 5 n +2(30 n ) = 3 n + 60 , while the AMC score is 6 n + 1 . 5(25 n ) = 4 . 5 n + 37 . 5 . Setting these equal to each other and solving results in n = 15 , giving a score of 105. Difficulty: Hard NCTM Standard: Algebra Standard for Grades 9–12: write equivalent forms of equations, inequalities, and systems of equations and solve them with fluency–mentally or with paper and pencil in simple cases and using technology in all cases.
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