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SAT模拟考试题:SAT数学练习题(20)

2016-08-11 17:03:53来源:网络

  Question 6: If AC and BD are the diagonals of the ABCD rectangle and EAB is equilateral,

  what is the value of angle ADE?

SAT模拟考试题:SAT数学练习题

  Answer: 30o

  Explanation: Rectangles have parallel opposite sides so AD and BC are parallel.

  The BD diagonal produces congruent angles: angle ADE is equal to angle CBD.

  ABCD is a rectangle so angle ABC is 90o.

  ABE is equilateral so angle ABE is 60o.

  Angle ADE = Angle CBD = Angle ABC - Angle ABD = 90o - 60o = 30o

  Question 7: The average of a set of 11 numbers is 11. If two numbers are removed

  the average of the remaining numbers is 10. What is the sum of the two numbers removed?

  Answer: 31

  Explanation: The average of the 11 numbers is equal with the sum of the numbers divided by 11.

  11 = (sum of 11 numbers)/11

  Sum of 11 numbers = 11·11

  Sum of 11 numbers = 121

  If x and y are the 2 numbers removed,

  [(Sum of 11 numbers) - x - y]/9 = 10

  [121 - x - y] = 10·9

  [121 - x - y] = 90

  x + y = 121 - 90

  x + y = 31

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本文关键字: SAT模拟考试 SAT数学

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