Which lines can you conclude are parallel given that m∠14 + m∠2 = 180 Justify your conclusion with a theorem. A) Line c is parallel to line d by the Converse of the Corresponding Angles Theorem.

B) Line a is parallel to line b by the Converse of the Corresponding Angles Theorem.

C) Line a is parallel to line b by the Converse of the Same-Side Exterior Angles Theorem.

D) Line c is parallel to line d by the Converse of the Same-Side Exterior Angles Theorem.

y=mx+b is the final answer!   : )

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

step-by-step explanation:

i believe its "c" because all of the other options include a but it could be d because there is a way of financing with cash at certain places but its uncommon.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!