The ratio of red jelly beans to yellow jelly beans in a dish is 3: 4. if greg eats 3 red jelly beans and six tallow ones, tie ratio is 4: 5. how many yellow jelly beans were originally on the dish?

Given: ab ≅ cd and ad ≅ bc prove: abcd is a parallelogram. statements reasons 1. ab ≅ cd; ad ≅ bc 1. given 2. ac ≅ ac 2. reflexive property 3. △adc ≅ △cba 3. ? 4. ∠dac ≅ ∠bca; ∠acd ≅ ∠cab 4. cpctc 5. ∠dac and ∠bca are alt. int. ∠s; ∠acd and ∠cab are alt. int. ∠s 5. definition of alternate interior angles 6. ab ∥ cd; ad ∥ bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3? triangle angle sum theorem sas congruency theorem sss congruency theorem cpctc

There are four paths from the cabin to the lake. and how many ways can you walk from the cabin to the lake back?

The number of volunteers to walk dogs at the local animal shelter last year was 20. this year, the number of volunteers has risen to 50. what is the percent of increase in the number of volunteers?