Two equations are given below:

m + 4n = 8
m = n − 2

what is the solution to the set of equations in the form (m, n)?

(4, 6)
(2, 4)
(0, 2)
(6, 8)

The solution to the set of equations is (0,2).

Reasoning:

m + 4n = 8 -> 0 + 4(2) = 8

m = n - 2 -> 0 = 2 - 2

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula