also 35 degrees. Since angle 4 and angle 2 are supplementary, the sum of the measures of these two angles is 180 degrees. Therefore, the measure of angle 2 is 180 degrees minus 35 degrees equals 145 degrees. Choice A is incorrect because 35 degrees is the measure of angle 1, and angle 1 is not congruent to angle 2. Choice B is incorrect because it is the measure of the complementary angle of angle 1, and angle 1 and angle 2 are not complementary angles. Choice C is incorrect because it is double the measure of angle 1. Explanation for . Choice C is correct. The description 16 plus 4 is 10 more than 14” can be written as x “ the equation 16 plus 4 equals 10 plus 14, which is equivalent to 16 plus 4 equals 24. x, x Subtracting 16 from each side of 16 plus 4 equals 24 gives 4 equals 8. Since 8 is 2 x x x times 4 multiplying both sides of 4 equals 8 by 2 gives 8 equals 16. Therefore, the x, x x value of 8 is 16. x Choice A is incorrect because it is the value of not 8 Choices B and D are incorrect; x, x. those choices may be a result of errors in rewriting 16 plus 4 equals 10 plus 14. For x, example, choice D could be the result of subtracting 16 from the left side of the equation and adding 16 to the right side of 16 plus 4 equals 10 plus 14, giving 4 equals 40 and x, x 8 equals 80. x Explanation for . Choice D is correct. A graph with a strong negative association between and would d t have the points on the graph closely aligned with a line that has a negative slope. The more closely the points on a graph are aligned with a line, the stronger the association between and and a negative slope indicates a negative association. Of the four graphs, d t, the points on graph D are most closely aligned with a line with a negative slope. Therefore, the graph in choice D has the strongest negative association between and d t. Choice A is incorrect because the points are more scattered than the points on choice D, indicating a weak negative association between and Choice B is incorrect because the d t.
also 35 degrees. Since angle 4 and angle 2 are supplementary, the sum of the measures of these two angles is 180 degrees. Therefore, the measure of angle 2 is 180 degrees minus 35 degrees equals 145 degrees. Choice A is incorrect because 35 degrees is the measure of angle 1, and angle 1 is not congruent to angle 2. Choice B is incorrect because it is the measure of the complementary angle of angle 1, and angle 1 and angle 2 are not complementary angles. Choice C is incorrect because it is double the measure of angle 1. Explanation for . Choice C is correct. The description “ 16 plus 4 x is 10 more than 14” can be written as the equation 16 plus 4 x, equals 10 plus 14, which is equivalent to 16 plus 4 x equals 24. Subtracting 16 from each side of 16 plus 4 x equals 24 gives 4 x equals 8. Since 8 x is 2 times 4 x, multiplying both sides of 4 x equals 8 by 2 gives 8 x equals 16. Therefore, the value of 8 x is 16. Choice A is incorrect because it is the value of x, not 8 x. Choices B and D are incorrect; those choices may be a result of errors in rewriting 16 plus 4 x, equals 10 plus 14. For example, choice D could be the result of subtracting 16 from the left side of the equation and adding 16 to the right side of 16 plus 4 x, equals 10 plus 14, giving 4 x equals 40 and 8 x equals 80. Explanation for . Choice D is correct. A graph with a strong negative association between d and t would have the points on the graph closely aligned with a line that has a negative slope. The more closely the points on a graph are aligned with a line, the stronger the association between d and t, and a negative slope indicates a negative association. Of the four graphs, the points on graph D are most closely aligned with a line with a negative slope. Therefore, the graph in choice D has the strongest negative association between d and t. Choice A is incorrect because the points are more scattered than the points on choice D, indicating a weak negative association between d and t. Choice B is incorrect because the
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