When planning a date night, you have a choice of 2 2 types of restaurants: pizza (p) or barbeque (b); a choice of 3 3 types of movies: romantic comedy (r), action/adventure (a), or drama (d); and a choice of 4 4 types of post-movie activities: grabbing coffee (c), getting ice cream (i), going for a walk (w), or playing miniature golf (g). if you are choosing only one of each, list the sample space in regard to the dates (combinations of restaurants, movies, and post-movie activities) you could pick from.

24 different combinations.

Step-by-step explanation:

To solve these types of problems, all you have to do is multiply the choices in each category. There are 2 types of restaurants, 3 types of movies to chose from, and 4 types of after movie activities. 2 x 3 x 4 = 24.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

160 cm

step-by-step explanation:

you have to add all the sides together