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The figure below is a pentagon (5-sided figure). Suppose a second pentagon were overlaid on this pentagon. At most, the two figures could have how many points of intersection?

(A) 1

(B) 2

(C) 5

(D) 10

(E) Infinitely many

The Correct Answer
Explanation

The noncommon rays of 2 adjacent angles form a straight angle. The measure of one angle is 4 times the measure of the other angle. What is the measure of the smaller angle?

(A) 36° (B) 45° (C) 90° (D) 135° (E) 144°

Correct Answer: A

The 7 consecutive integers below add up to 511, x - 2, x - 1, x, x + 1, x + 2, x + 3, and x + 4. What is the value of x?

(A)71 (B) 72 (C) 73 (D) 74 (E) 75

Correct Answer: B

To make space for new merchandise, a clothing store offered a 15% discount on all current stock.What is the sale price of a jacket that regularly sells for $42?

(A)$6.30 (B) $8.40 (C) $35.70 (D) $37.80 (E) $41.85

Correct Answer: C

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