Which statement best explains why Ben must open the compass to a width greater than half of segment PQ? To be able to create two intersecting arcs above and below the line segment
To be able to create arcs above the line segment
To find the length of the line segment
To find the length of half of the line segment

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.

76%

step-by-step explanation:

24% are dogs and the remaining is 76% because 100-24=76

so, converting firstly the mixed fractions to improper fractions and then "adding".

answer: the answer is e

step-by-step explanation: