Prove the following statements about the sets a, b and c. within your arguments, you may find it useful to argue directly and/or to use the contrapositive form. remember that to show that two sets are equal, we show that each one is a subset of the other; also remember that to show that s is a subset of t, we argue "let x , aha! therefore x et." (a) a n (b \ c) = (an b) \ (a n c) (b) (aub)\(anb)= (a \ b) u (b \ a)

Afigure is rotated 180°. if one of the points on the image is g'(4, -8), what were the coordinates of g? (8,4) (8,-4) (4,8) (4,8)

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?

Aconstruction worker needs to put a rectangular window in the side of a building he knows from measuring that the top and bottom of the window have a width of 8bfeet and the sides have a length of 15 feet he also measured one diagonal to be 17 feet what is the length of the other diagonal