Which inequality explains why these three segments cannot be used to construct a triangle?

ef + fd > de
ed + ef < df
ed + ef > df
ef + fd < de

2 and 4

Step-by-step explanation:

The rule says that in any triangle , the sum of two sides is always greater than the third.

In our problem we see that , the first and third option holds true as they says the sum of the sides is greater than the third side.

But , on the other hand , the option 2 and 4 says , that the sum of the two sides is smaller than the third side. Which can not be possible.

Hence the inequality 2nd and 4th are false and we can not form a triangle with them.

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.

answer: it's d

step-by-step explanation: