Camilla makes and sells jewelry. she has 8,160 silver beads and 2,880 black beads to make necklaces. each necklace will contain 85 silver beads and 30 black beads. how many necklaces can she make?

School has 204 sixth grade students. if the sixth grade is 30% of the total school, how many students are in the middle school?

Organic apples are on special for $1.50 per pound. does total cost vary inversely or directly with the number of pounds purchased? find the cost of 3.4 pounds of apples. a. inversely: $5.10 b. directly; $5.10 c. inversely: $2.27 d. directly; $2.27

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.