A student concluded that 8x - 12 = 4( 1/2x - 6 ) has infinity many solutions. Which statement best describes the students conclusion? A. The conclusion is incorrect because the equation has no solutions
B. The conclusion is incorrect because there is exactly one solution to the equation
C. The conclusion is correct because there are exactly two solutions to the equation
D. The conclusion is correct because when simplified, both sides of the equation are equivalent

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.