Subtract 40 to get 280. Since the two remaining angles are congruent, divide by 2 to find
that the two unlabeled angles are both equal to 140. Because ABC and BCD have a
combined measure of 180, AB and CD are parallel. Therefore, (A) accurately describes the
relationships in the figure.- B Taking the 4th root of a number is the same as taking the number to the power. Therefore,
the equation can be rewritten as . Divide both sides by 2 to get . Therefore, in the equation and , so w = 3. The
correct answer is (B).- C Whenever there are variables in the question and in the answers, think Plugging In. If a = 2
and b = 3, r = [ (2) + 3]^2 = (1 + 3)^2 = 16, and s = –4(2)(3) + 3(3) = –24 + 9 = –15. Theexpression r – 2s becomes 16 – 2(–15) = 16 + 30 = 46. Plug 2 in for a and 3 in for b ineach of the answers to see which answer equals the target number of 46. Choice (A)becomes (2^2 ) + 3^2 − 7(2)(3) − 6(3) = 1 + 9 − 42 − 18 = −50. This does not match thetarget number, so eliminate (A). Choice (B) becomes (2^2 + 3^2 − 7(2)(3) + 6(3) = 1 + 9 −42 + 18 = -14. Eliminate (B). Choice (C) becomes (2^2 ) + 3^2 + 9(2)(3) − 6(3) = 1 + 9 + 54− 18 = 46. Keep (C), but check (D) just in case it also works. Choice (D) is the same as (C)except for the coefficient on the a^2 term, so it can’t equal 46. Eliminate (D). The correctanswer is (C).- C First, start with a sketch of the two points to see what the line in question might look like.