Takyra has n nail polish colors. Samantha has 4 more than twice the number of nail polish colors. In terms of n, how many nail polish colors does Samantha have?
3n - 4
3n +4
2n +4
2n x 4

  2n+4

Step-by-step explanation:

"(4 more than) twice the number"  is 2x

"4 more (than twice the number)"    is +4

Put them together:  2n + 4

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.

based on context clues you gave i'm assuming the answer would be c.