A local recreation center offers a yearly membership for $265. The center offers aerobatics classes for an additional $5 per class. Carly spent $500 in one year. Write an equation for how many aerobatics classes Carly has taken. Use c as variable.

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.