The plans for a new amusement park were laid out in the first quadrant of a coordinate plane. The entrance to the roller coaster was shown at (1,1), and the entrance to the bumper cars was shown at (7,9). If each grid represents 70 meters, how far apart will the 2 entrances be?

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.

Qrst is a parallelogram. determine the measure of ∠q pls

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