12 movies - 5 action, 5 romantic comedies, 2 thrillers 6 snacks - 1 popcorn, 3 chips, 2 cookies

4 drinks - 2 juice, 2 soda.

How many different arrangements can I make with 1 movie, 1 snack, and 1 drink?

There are 288  possible arrangements you can make with 1 movie, 1 snack, and 1 drink.

Step-by-step explanation:

Here, the total number of movie options available  = 12 movies

The total number of snack  options available  = 6 snacks

The total number of drink options available  =  4 drinks

To find the options available for 1 movie, 1 snack, and 1 drink:

N  = Total available options for { movies x snacks x drinks)

= 12 movies x 6 snacks  x  4 drinks

N  = 288 options

Hence, there are 288  possible arrangements you can make with 1 movie, 1 snack, and 1 drink

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

step-by-step explanation:

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