part 3. below are some symbolized arguments in standard form. some of them are fallacies of affirming the consequent (ac), denying the antecedent (dn), or undistributed middle (um). identify each by writing the abbreviation in the blank. if an argument is none of these forms, write n. this section asks you to stretch what you know into a new kind of problem. use what you know from the homework and sections 1 and 2 of this exam to solve them. (4 points each, 20 total)
1. 1. ( b & c ) ? d ~ ~ (b & c)
2. ( b & c ) ? d ~ ( b & c ) ~ d
3. ~ c ? a ~ a
4. c ? i c
5. d ? c d ? c

Imagine a new pasture with grass growing on it. every day after the seeds have germinated, the number of blades of grass in the pasture triples. after 18 days, the entire pasture is completely covered in grass. how many days did it take for the pasture to be one-third covered in grass?

Af jewelry box is in the shape of a rectangular prism with an area of 528 cube inches. the length of the box is 12 inches and the height is 5 1/2 inches. what is the width of the jewelry box

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.