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Given that i2= –1, what is the value of (4 + 2i)(4 – 2i)?

(A) 12

(B) 20

(C) 16 – 4i

(D) 4 + 16i

(E) 12 – 16i

The Correct Answer
Explanation

All of the following statements about rational and/or irrational numbers must be true EXCEPT:

(F) the sum of any two rational numbers is rational. (G) the product of any two rational numbers is rational. (H) the sum of any two irrational numbers is irrational. (J) the product of a rational and an irrational number may be rational or irrational. (K) the product of any two irrational numbers is irrational.

Correct Answer: K

If G is in the interior of right angle DEF, then which of the following could be the measure of GEF?

(A) 85° (B) 95° (C) 105° (D) 115° (E) 125°

Correct Answer: A

In the figure below, line m is parallel to line n. One angle formed with transversal line T measures 60°, as shown. What is the degree measure of imagea? image

(A)30° (B) 60° (C) 90° (D) 120° (E) Cannot be determined

Correct Answer: D

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