Adam and Samantha are preparing hard boiled eggs to have as a protein filled snack. Adam has already eaten 12 grams of protein and starts to eat eggs which are 6 grams of protein each. Samantha has not had any food yet and starts to eat eggs at the same time as Adam. After how many eggs will Adam and Samantha have consumed the same grams of protein? Explain.

1234567891011 match the reasons with the statements in the proof. given: j | | k m 1 = m 3 prove: l | | m 1. j||k, m∠3 = m∠1 if lines are ||, then corresponding angles are =. 2. m∠1 = m∠2 if alternate interior angles are =, then lines are ||. 3. m∠2 = m∠3 substitution 4. l||m given

Pick the description of a geometric object that best matches the real world object box for a deck of card

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