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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.

What is the slope-intercept form for each equation in this system? compare the slopes and y-intercepts to describe the graph of the system. 3x - 4y = 28 4x + 10y = 20

Use the rules of exponents to simplify the expressions. match the expression with its equivalent value. 1. 2-1 ∙ 2-4 2. -32 3. ∙ 32 4. -