Given line segment ab with endpoints a(-9, 2) and b(12, 8) what are the coordinated of point c that is partitioned one third from a to b. .

Step-by-step explanation:

The given endpoints of the line segment AB are A(-9, 2) and B(12, 8).

It is given that point C partitioned one third from A to B. It means point C divide the line segment AB in 1:3.

Section formula:

If a point divides a line segment PQ in m:n, where endpoints are and , then the coordinates of that point are

Using section formula, the coordinates of point C are

Therefore, the coordinates of point C are .

72 is the answer to this problem

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°