A random survey of 500 people in North Carolina showed that 80 had taken a trip to the Great Smokey Mountains National Park within a year or less. In a random survey of 200 North Carolinians, how many could be predicted to have taken a trip to the Great Smokey Mountains within a year or less?

a. 16
b. 32
c. 48
d. 80

(with explanation)

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