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grubers complete sat guide 2009 phần 4

Tham khảo tài liệu 'grubers complete sat guide 2009 phần 4', ngoại ngữ, ngữ pháp tiếng anh phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 298 COMPLETE SAT MATH REFRESHER 22. Choice B is correct. Let s represent the side of the large square. Then the perimeter is 4S. Let s represent the side of the smaller square. Then the perimeter is 4s. Line NQ is the diagonal of the smaller square so the length of NQ is V2s. The diagonal of a square is V2 times the side. Now NQ is equal to DC or s which is the side of the larger square. So now s V2s. The perimeter of the large square equals 4S 4V2s V2 4s V2 X perimeter of the small square. 520 23. Choice A is correct. Angles A and B are both greater than 0 degrees and less than 90 degrees so their sum is between 0 degrees and 180 degrees. Then angle C must be between 0 and 180 degrees. 501 505 24. Choice D is correct. Let the four angles be x 2x 3x and 4x. The sum 10x must equal 360 . Thus x 36 and the largest angle 4x is 144 . 505 25. Choice C is correct. The diagonals of a rectangle are perpendicular only when the rec- tangle is a square. AE is part of the diagonal AC so AE will not necessarily be perpendicular to BD. 518 26. Choice D is correct. Draw the three cities as the vertices of a triangle. The length of side CB is 400 miles the length of side AB is 200 miles and x the length of side AC is unknown. The sum of any two sides of a triangle is greater than the third side or in algebraic terms 400 200 x 400 x 200 and 200 x 400. These simplify to 600 x x -200 and x 200. For x to be greater than 200 and -200 it must be greater than 200. Thus the values of x are 200 x 600. 506 516 27. Choice C is correct. At 7 30 the hour hand is halfway between the 7 and the 8 and the minute hand is on the 6. Thus there are one and one-half hour units each equal to 30 so the whole angle is 45 . 501 526 COMPLETE SAT MATH REFRESHER 299 28. Choice E is correct. If a ship is facing north a right turn of 90 will face it eastward. Another 90 turn will face it south and an additional 45 turn will bring it to southwest. Thus the total rotation is 90 90 45 225 . 501 29. Choice E is .