Suppose you visit a yogurt shop. to create a fruit smoothie, you can choose vanilla, chocolate, or strawberry yogurt. once you choose the yogurt flavor, you can choose to add one fruit flavor. you can choose strawberry, blueberry, raspberry, or banana. how many possibilities of yogurt and fruit combinations do you have. options: 12 4 7 24

Answer - A

Using Permutation and Combination,

ways to choose yogurt flavor  3C1= 3               ,

                     C stands for Combination

                      nCr = n! / (r!)(n-r)!

ways to choose fruit flavor       4C1 = 4

total number of ways to create smoothie= 3*4 = 12

yes   because as the functions are graphed they eventually will intersect unless otherwise

step-by-step explanation:

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true