The points (–5, 6) and (5, 6) are vertices of a hexagon. the line segment joining the two points forms one of the sides of the hexagon. which statement explains the segment formed by these endpoints?
since the x-coordinates are opposites, the segment is vertical, and the distance between the points is 10 units.
since the x-coordinates are opposites, the segment is horizontal, and the distance between the points is 12 units.
since the y-coordinates are the same, the segment is vertical, and the distance between the points is 12 units.
since the y-coordinates are the same, the segment is horizontal, and the distance between the points is 10 units.

The information about the points being vertices that make up a line to represent the side of a hexagon is irrelevant, as we are only looking for the distance of a line based on their x and y coordinates.

Look at the point's x and y coordinates:

First point:

x = -5, y = 6

Second point:

x = 5, y = 6

You'll notice that the y-coordinate for both points is the same (6 = 6). This means that the segment created by the points will be horizontal, since there is only movement on the x-axis if you trace the segment from point to point.

To find the distance between the two points, we'll only need to subtract the first point's x-coordinate from the second:

5 - (-5) = 5 + 5 = 10

The answer will be the following statement:

Since the y-coordinates are the same, the segment is horizontal, and the distance between the points is 10 units.

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Step-by-step explanation:

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you