Emily purchased three different sizes of popcorn at the movies. The medium popcorn was twice as expensiveas the small popcorn. The large popcorn was $3.00 more than the medium popcorn. She spent a total of $23.00 on popcorn . Write and solve an equation to determine the cost of the small popcorn.

Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?

Choose the correct slope of the line that passes through the points (1, -3) and (3, -5)

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?