What information is missing but is needed to solve this problem?

the community theater staged performances on friday, saturday, and sunday. there were 357 people at friday's performance and 422 at sunday's performance. how many people attended saturday's performance?

a.
the number of people at friday's, saturday's, and sunday's performances combined

b.
the number of people at friday's and sunday's performances combined

c.
the difference between the number of people at friday's and sunday's performances

d.
the average of the number of people at friday's and sunday's performances

A. The number of people at Fridays, Saturdays and Sundays performance combined

Step-by-step explanation:

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

hi! i think the answer is 1/2 : )