Astore sells notebooks for $3 each and does not charge sales tax. if x represents the number of notebooks adele buys and y represents the total cost of the notebooks she buys, which best describes the values of x and y? the value of x can be any real number, and y will be a real number. the value of x can be any real number greater than or equal to 0, and y will be a real number greater than or equal to 0. the value of x can be any integer, and y will be an integer. the value of x can be any integer greater than or equal to 0, and y will be an integer greater than or equal to 0.

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft