Ethan's mom tried a new bean soup recipe. She used 2 cups of black beans and 5 cups of kidney beans. The family loved it, so she made a larger batch to freeze with 4 cups of black beans and 12 cups of kidney beans. Did the two batches have the same ratio of black beans to kidney beans? Anyone know the answer?

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The rectangle shown has a perimeter of 108 cm and the given area. its length is 6 more than five times its width. write and solve a system of equations to find the dimensions of the rectangle.

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem