There are two parts to the following question. First, answer part A. Then, answer part B. Brianna and Gavin used partial quotients to show 552 : 23. See their work below. Brianna's work Step 1: Subtract (20 x 23) from 552 to get 92. Step 2: Subtract (4 x 23) from 92 to get 0. Step 3: Add partial quotients. Gavin's work Step 1: Subtract (10 x 23) from 552 to get 322. Step 2: Subtract (10 x 23) from 322 to get 92. Step 3: Subtract (2 x 23) from 92 to get 46. Step 4: Subtract (2 x 23) from 46 to get 0. Step 5: Add the partial quotients. Part A Which student(s) correctly calculated the quotient? Explain your answer.

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.

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

the correct option is b

step-by-step explanation: