If a month is june, then it has 30 days. write the contrapositive of the statement above. a. if a month is not june, then the month has 30 days. b. if a month does not have 30 days, then the month is june. c. if a month is june, then the month does not have 30 days. d. if a month does not have 30 days, then the month is not june.

D. If a month does not have 30 days, then the month is not June.Step-by-step explanation:

let's analyze each statement to find out what would be the correct option

A. If a month is not June, then the month has 30 days

It is incorrect because we only know that if the month is June it has 30 days. We cannot assure you that if the month is not June, this condition is always met. For example: August

B. If a month does not have 30 days, then the month is June.

It is incorrect because it contradicts the condition they give us for a month to be June, which is If a month is June, then it has 30 days.

C. If a month is June, then the month does not have 30 days.

It is incorrect because it contradicts the condition they give us for a month to be June, which is If a month is June, then it has 30 days.

D. If a month does not have 30 days, then the month is not June.

It is correct since to be June the condition they give us is that it must have 30 days. If a month does not have 30 days, we know with certainty that this month is not June.

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.