Me rn i will mark the best answers brainleast and mark 5 answer the ones u know n explaintion needed

For the first question, the answer is 25/14.

Because 14x = 25y    Which means x must equal more than y. And 25/14 is the only answer like this.

For the second question, the answer is 30 x 18.

30/5 = 6     18/3 = 6      18 + 18 + 30 + 30 = 96

So, both the perimeter and the ratio is correct with this answer.

For the third question, the first answer is correct.

x < -4    and only a negative number can be less than another negative. Also, the negative must have a higher value to be less than another negative.

For the last question, the last answer is correct. no explanation for this one, it would take too long ;)

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.