You want to rent a television. Company A charges $25 per week plus a one-time fee of $52. Company B charges $37 per week plus a one-time fee of $16. After how many weeks are the total costs the same at both companies?

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.