Upon reading in the newspaper that the dollar exchange rate with the euro has depreciated 12% in the last month, after a 15% appreciation in the previous month, one of your friends tells you, "I don't understand a thing about these currency fluctuations. Surely the market must be irrational. Nothing justifies such large movements up and down." What is your response?

Question 2 (essay worth 10 points) (03.02 mc) in δabc shown below, point a is at (0, 0), point b is at (x2, 0), point c is at (x1, y1), point d is at x sub 1 over 2, y sub 1 over 2, and point e is at the quantity of x sub 1 plus x sub 2 over 2, y sub 1 over 2: triangle abc is shown. point d lies on segment ac and point e lies on segment bc. a segment is drawn between points d and e. point a is at the origin. prove that segment de is parallel to segment ab.