David is writing a coordinate proof involving a parallelogram. knowing that the opposite sides of a parallelogram are congruent, david places his parallelogram on the coordinate plane such that one vertex is at the origin and one side lies along the x-axis. what coordinates should he assign to the fourth vertex of the parallelogram? (a+b, c) (b, a+c) (2b, c) (2a, c)

(a+b, c)

Step-by-step explanation:

The distance of the side along the x-axis is given by a-0 = a.

The length of the side opposite this must also be a units long; this means the x-coordinate of the fourth vertex will be at b+a, or a+b.

Since opposite sides are parallel and the top left vertex has a y-coordinate of c, the fourth vertex must have a y-coordinate of c.

This makes the coordinates of the fourth vertex (a+b, c).

the elevation of the entrance to your room at jules' undersea lodge in key largo, florida is 21 ft under the sea. since the diver is one foot deeper than 2/3 of the elevation of the entrance. in equation form: 15= 2x/3 + 1.