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Tham khảo tài liệu 'sat - mc grawhill part 85', ngoại ngữ, ngữ pháp tiếng anh phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 830 McGRAW-HILL S SAT 10. 104 Quadrilateral ABCD is B composed of two identical triangles each with an area of 240 square inches. Area of AABC 1 bh 240 12 20 h h 24 inches D To solve for side BC set up the Pythagorean theorem 102 242 BC 2 Simplify 100 576 BC 2 Combine like terms 676 BC 2 Take the square root 26 BC Or simply notice that each right triangle is a classic 5-12-13 triangle times 2 10-24-26. The perimeter of quadrilateral ABCD 26 26 26 26 104 Chapter 10 Lesson 5 Areas and Perimeters 11.30 If two things are equal you can substitute either one for the other. Since g x x2 - 5 f g x f x2 - 5 Plug x2 - 5 into f x and simplify f x 7 x2 - 5 2 Distribute 7x2 - 35 2 Plug in 3 for x 7 3 2 - 35 2 Simplify 63 - 35 2 30 Chapter 11 Lesson 2 Functions 12. 3 Start by simplifying the expression 6 x - 9 x 6 _ 6 x - 9 - x - 6 5x -15 Combine like terms 5 Simplify x - 3 This expression is 3 less than x. Chapter 8 Lesson 1 Solving Equations 13. 18 Approach this problem logically but keep the restrictions in mind. If we want the largest possible value of a and a b 20 try a 19. But that is not a possibility because b is a positive integer and so can be no less than 1 and 19 1 is equal to not less than 20. Therefore the largest value of a that fits the restriction is 18. If a 18 and b 1 then ab 18 1 18 an even number. Chapter 9 Lesson 3 Numerical Reasoning Problems 14. 28 Since rectangle U and rectangle Vshare a side with integer length this length must be a common factor of 18 and 21. Similarly the side that rectangle U and rectangle w share must be a common factor of 18 and 12. Therefore the common side between U and V is 3 and the common side between 6 7 U 3 V 6 2 7 W X 6 7 Y X Z U and w is 6. So U is a 6-by-3 rectangle V is a 7-by-3 rectangle and w is a 6-by-2 rectangle which means rectangle X must have an area of 14. The sum of the areas of those four rectangles is 18 21 12 14 65. The area of the entire rectangle is given as 117. Thus the area of rectangles Y and Z together