When a plane flies with the wind, it can travel 800 miles in 2 hours. When the plane flies in the opposite direction against the wind, it takes 2.5 hours to fly the same distance. Find the average velocity of the plane in still air and the average velocity of the wind.
The average velocity of the plane in still air is
mph.

Apositive number a or the same number a increased by 50% and then decreased by 50% of the result?

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.

Find the coordinates of point x that lies along the directed line segment from y(-8, 8) to t(-15, -13) and partitions the segment in the ratio of 5: 2.