The annual hot dog eating contest at the fair gives a $100 prize to the contestant who eats 30 hot dogs in the the least time. If all the time below are equivalent, what is the most appropriate unit to represent the winning time?

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

Which of the following parabolas opens up?

Y+ 2/y is it a polynomial in one variable or not? and if so, why?