Aida bought a
costume box containing 50 costumes for
$300. She sold all of the costumes and
made a $250 profit. She sold all of the
costumes for the same price. Use the
equation 50c – 300 = 250, where cis
the selling price of each costume. What
was the selling price of one costume
in dollars?

Find the value of x. give reasons to justify your solutions! c ∈ ae

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.

Answer each of the questions for the following diagram: 1. what type of angles are these? 2. solve for x. what does x equal? 3. what is the measure of the angles?