3.1.PS-10 The Stock Market Alexander is a stockbroker. He earns 11% commission each week. Last week, he
sold $7,200 worth of stocks. How much did he make last week in commission? If he averages that
same amount each week, how much did he make in commission in 2011?

d

because parallelagram have all 4 angels the same size dependeing and a rectangle and square are oth parallelogram

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