Anna completes a test that had 120 questions for a math competition. Each correct answer is worth +4 points, and each wrong answer is worth -2 points. Anna finishes the entire test and receives a score of zero. How many correct and incorrect answers did she have?

40 Correct and 80 Incorrect

Step-by-step explanation: Every answer she gets correct, she can afford to get 2 answer wrong meaning the number of incorrect answers must be twice the amount of correct. 40(4)=160 80(-2)=160 which evens out to zero

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation:

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.