Three siblings are comparing their ages. Jenna is the youngest. Her brother Carl is 6 years older than her. Her sister Eve it twice her age. The sum of their ages is 42. Let j represent Jenna's age.

jenna age = 9

carl age = 15

eve age = 18

Step-by-step explanation:

let, jenna age = j then,

carl age=6 + j & eve age= 2j

By the question,

j + (6+j) + 2j =42

or, 4j + 6=42

or, 4j = 42-6

or, j = 36÷4

j = 9

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.

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation: