Sum of three consecutive odd number is 69 find the prime number out​

23 is the prime number

Step-by-step explanation:

let n, n + 2, n + 4 be the consecutive odd numbers, then

n + n + 2 + n + 4 = 69 ← simplify left side

3n + 6 = 69 ( subtract 6 from both sides )

3n = 63 ( divide both sides by 3 )

n = 21 , then

n + 2 = 21 + 2 = 23 and n + 4 = 21 + 4 = 25

The 3 numbers are 21, 23, 25 with prime number 23

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.

incomplete question. how do you expect anyone to you when you do not post the question in its entirety?