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Unformatted text preview: um of the angles in a triangle is 180º.) Angle x = 100º (Vertical angles are congruent.) 4. (E)
23 3 ⋅= 52 5 1 1 10 − 2 8 2 − = = = 2 10 20 20 5 32 + =1 55 12. (B)
m+n+ p =q 3 m + n + p = 3q x+y=z m + n + p + x + y = 3q + z 5. (C) Basic toll $1.00. Extra toll $2.25, which is 3($.75). Therefore, the car holds a driver and 3 extra passengers, for a total of 4 persons. 6. 7. (C) (C) Divide by y : y = 2. x=y+1
2 13. (C) Side of square = 2 If BE = 2, EA = 1, then by the Pythagorean theorem, BA and AC each equal 5 . Perimeter of triangle ABC = 2 + 2 14. (A) Multiply every term by a.
5. Using the largest negative integers will give the smallest product. Let y = –2, x = –1, then xy = 2. 8. (C) Side of square = 12 = diameter of semicircle. Remaining 2 sides of triangle add up to 16. Perimeter of semicircle =
1 1 π d = ⋅ π ⋅ 12 = 6π 2 2 1 2a − 2 15. (C) There are 30º in each of the 12 even spaces between numbers on the clock. At 3:30, the minute hand points to 6 and the hour hand is halfway between 3 and 4. The angle between 1 the hands is 2 (30 ) = 75 .
2 2 sides of square in perimeter = 24 Total perimeter of park = 16 + 6π + 24 = 40 + 6 π 16. (A) $320 is 125% of his former salary. 320 = 1.25 x 32000 = 125 x $256 = x www.petersons.com 334 Chapter 17 17. (A) Area of each square = 1 ⋅ 125 = 25 5 Section 2
1. 2.
4 2 + 9 = 25 = 5 (answer) Side of each square = 5 Perimeter is made up of 12 sides. 12(5) = 60 18. (C) 19. (D)
13 3 ⋅= = 30% 2 5 10 Circumference is 5 times arc. 3. The number must be an even number, as there is no remainder when divided by 2. If division by 4 does give a remainder, it must be 2, since even numbers are 2 apart. 2 (answer) 5(2 π) = 10π = π d d = 10 r=5 ( 8) 2 = 8 (answer) 20. (D) The sum of any two sides of a triangle must be greater than the third side. Therefore, x must be less than 7 (4 + 3 > x); however, x must be greater than 1, as 3 + x > 4. 21. (E) x can be negative as (–2)2 = 4, which is less than 5. 22. (D) The two children’s tickets equal one adult ticket....
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