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In isosceles triangle ACE, shown below, B and D are the midpoints of congruent sides and respectively. ABE measures 95°, and DAE measures 35°. What is the measure of DEB?

(A)50°

(B) 30°

(C) 25°

(D) 15°

(E) 10°

The Correct Answer

At Fatima's Fruits, a bag of eight grapefruits costs $4.40. At Ernie's Edibles, a bag of three grapefruits costs $1.86. How much cheaper, per grapefruit, is the cost at Fatima's Fruits than at Ernie's Edibles?

(A) $0.07 (B) $0.35 (C) $0.59 (D) $1.17 (E) $2.54

Correct Answer: A

A circle has a radius that is the same length as the sides of a square. If the square has a perimeter of 64 square inches, what is the area, in square inches, of the circle?

(A) 16 (B) 16π (C) 32π (D) 64π (E) 256π

Correct Answer: E

Mr. Dietz is a teacher whose salary is $22,570 for this school year, which has 185 days. In Mr. Dietz's school district, substitute teachers are paid $80 per day. If Mr. Dietz's takes a day off without pay and a substitute teacher is paid to teach Mr. Dietz's classes, how much less does the school district pay in salary by paying a substitute teacher instead of paying Mr. Dietz's for that day?

(F) $ 42

(G) $ 80

(H) $ 97

(J) $105

(K) $122

Correct Answer: F

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