Ms. Tyson is doing an engineering challenge with her students. Each team will get a kit with bags of marshmallows and boxes of toothpicks. Ms. Tyson has 36 bags of marshmallows and 48 boxes of toothpicks. She wants to use all the bags of marshmallows and all the boxes of toothpicks to make identical kits for the teams. which of the following numbers of identical kits can Ms. Tyson make? Is it: 1,2,5,6,10,15

The sum of the product of 4 and x and the product of 7 and y is 61. the sum of the product of 12 and x and the product of 21 and y is 61. what are the values of x and y?

In the following diagram it is given that dec,ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2

Given that abcd is a rhombus, what is the value of x?