Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20130715 03:25:47
transformationsOPQRSTUVWX is a regular decagon. A rotation of degrees about U maps X to R. Given , findTwo lines and m intersect at O at an angle of . Let A be a point inside the acute angle formed by and m. Let B and C be the reflections of A in lines and m, respectively. Find the number of degrees in . Equilateral triangle ABC has centroid G. Triangle A'B'C' is the image of triangle ABC upon a dilation with center G and scale factor 2/3. Let K be the area of the region that is within both triangles. Find K/[ABC]. I see you have graph paper. You must be plotting something #2 20130717 02:47:06
Re: transformationsare there any hints or solutions here?? I see you have graph paper. You must be plotting something #3 20130717 03:47:41
Re: transformations72 degrees is the answer for the first one. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment 