Darnell and Stephanie have competing refreshment stand businesses Darnell's profit can be modeled with the polynomial c^2 + 3c - 120, where c is the number of items sold. Stephanie's profit can be modeled with the polynomial 3c^2+ - 7c- 400. Write a polynomial that represents the difference between Stephanie's profit and Damell's profit.

i think it might be a but you might want a second opinion

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

its c