An order of award presentations has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul. In how many ways can the awards alternate between men and women with the first award being presented to a woman

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.

The 7th grade has collected $200 for a field trip that would cost $600. the teachers decided to ask $50 from additional students to cover the cost. how mny students must pay to cover the cost ? a 16studentsb 80studentsc 160studentsd 8students show work

45(x-7)=90 what would the value of c on this equation be?