Stores x, y, and z each sell a certain item that has a given list price. stores x and y are located in a state with a 5 percent sales tax, and both sell the item at a 5 percent discount off list price, while store z is located in a state with no sales tax and gives no discounts. store x applies its discounts first and then charges sales tax on the discounted price, while store y adds the tax first and then applies the discount to the price with tax. if x and y are the prices, with tax and discount, charged by stores x and y, respectively, and z is the price charged by store z, which of the following statements correctly describes the relationship among x, y, and z? a. x=y=zb. x=y

x=y<z, option B is correct.

Step-by-step explanation:

Lets calculate how much money the stores charge with respect to the price list.

Since Z does not charge with taxes or discounts, then Z sells 100 % the price list.

X applies a discount first, so it sells at 95% the price ignoring taxes. With the tax charge it increases by a 5% of the 95, so in total it sells with 95 + 95*(0.05) = 99.75 %

Y charges with taxes first, so it the prices increases by a 5% to a total of 105% the list price, and then makes a discount, so the total price is 105-105*0.05 = 99.75%

As a result

x = 99.75%

y = 99.75%

z = 100%

Therefore x=y<z. Option B is the correct one

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.

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: