A recipe for chocolate chip cookies mixes 512 cups of cookie dough with 34 cup of chocolate chips and makes 48 cookies. A baker has 3 cups of chocolate chips in the pantry and uses them all to make cookies using the proportions of the recipe.

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?

Which set of side lengths form a right side? a) 3ft,6ft,5ft b)50 in,48in,14in c)53m,48m,24m d)8cm,17cm,14cm

An isosceles trapezoid was broken into a rectangle and two triangles. what are the base and height of one of the triangles?