For lines a, c, and d, line c is parallel to line d and m∠1 = 55°. Part A: For the given diagram, use the measure of ∠1 to find the measure of the remaining seven angles.
Part B: In two or more complete sentences, explain the relationship between angle pairs a)∠1 and ∠7 and b)∠1 and ∠2. in your explanation, include how you calculated each of the angle measures in the special angle pairs.

Find the zeros of each function. f(x) = 6x^2 - 7x - 20

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.

The diagram shows a cuboid abcdefgh abcd is a square with area 25cm². find the volume of the cuboid.