PLZ MARK AS BRAINLIEST Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
Amy must form a three-letter arrangement using only letters from the word dice. She cannot use a letter more than once in the arrangement.

The probability that Amy forms an arrangement that begins and ends with vowels is

The probability that Amy forms an arrangement whose letters are in alphabetical order (ascending or descending) is

Yankee

Western theater - The fighting during the Civil War that took place west of the Appalachian Mountains. It eventually included the fighting in Georgia and the Carolinas as well. Yankee - A nickname for people from the North as well as Union soldiers.

65°

step-by-step explanation:

the total measure of a triangle is 180 degrees. 62 + 53 is 115.

180 - 115 = 65

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.