Use gaussian elimination to find the complete solution to the system of equations, or state that none exists. show your work. 4x - y + 3z      =    12 x + 4y + 6z      = -32 5x + 3y + 9z      =    20

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Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

You give a $4 tip for a meal that cost $22. approximately what percent of the bill was your tip?