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In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?

(A)158

(B)132

(C)120

(D)110

(E)70

The expression 23fg - 6f(5f +3g) is equivalent to:

(F) 5fg - 30f² (G) 25fg (H) 3g - 7fg (J) 41fg - 30f² (K) 30f² - 5fg

Correct Answer: F

A magician performing at children's birthday parties charges $120.00 total for a one-hour performance with ten goodie bags for children at the party. She will provide additional goodie bags for $2.50 each. For an additional $25.00, she will also present a 15-minute laser light show. The magician is always paid on the day of the show, receives no tips or other additional payments, and never varies the length of the show. If the magician performs exactly four shows one weekend, presents the light show at three of those performances, and collects $635.00 total, how many additional goodie bags did she provide?

(A) 26 (B) 32 (C) 48 (D) 86 (E) 254

Correct Answer: B

At 10:00, Angela starts from her home and runs at a constant pace to Kathleen’s house, which is exactly 2 miles away. Immediately, she and Kathleen turn around and walk back to Angela’s house exactly 4 miles an hour slower than Angela ran. When they arrive at Angela’s house, the time is 10:45. At what speed did Angela run?

(F) 6 miles per hour(G) 6.5 miles per hour(H) 7 miles per hour(J) 7.5 miles per hour(K) 8 miles per hour

Correct Answer: K