Aregular hexagon rotates counterclockwise about its center. it turns through angles greater than 0 and less then or equal to 360. at how many different angles will the hexagon map onto itself?

Marcus and cody both leave the park at the same time, but in opposite directions. if cody travels 6 mph faster than marcus and after 4 hours they are 64 miles apart, how fast is each traveling? solve using rare times time = distance.