Figures A, B, C, and D show the result of simplifying the hanger in Figure A.
Each equation represents one of the hanger diagrams.
Hanger A: 2(x + 3y) + 2z = 2z + 4x + 2y
Hanger B: 2(x + 3y) = 4x + 2y
Hanger C: x + 3y = 2x + y
Hanger D: 2y = x
Explain what was done to each equation to create the
next equation. If you get stuck, think about how the
hangers changed.

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

Select the correct answer and solve for y