Answer:
135 degrees
Step-by-step explanation:
all the angles in a triangle need to add to 180 degrees, so you take
180-(65+70)= 45
Then you just find the supplementary angle
45+x=180
x=135
Answer:
Point of intersection is (-2, -1).
Step-by-step explanation:
The diagonals bisect each other so we only need to find the midpoint of one of the diagonals. We'll use the diagonal qs:-
Midpoint = (-8 + 4)/2, (1 + -3)/2
= (-2, -1)
20/28 = 5/7
Step-by-step explanation:
Step 1 :
Total number of students in the algebra class is 28
Given that the number of students who play neither sport = 8
Step 2 :
Probability that a student randomly chosen does not play any sport is obtained by number of students who play neither sport/ total number of students
Hence probability is 8/28
Step 3 :
The probability that a student randomly chosen plays either basketball or base ball = 1 - 8/28 = 20/28 = 5/7
Okay!
Notable things in the problem:
2011 <u>minutes</u> <u>AFTER</u> the beginning of January 1rst.
12:00AM will be our starting time, because that's when January 1rst begins.
It'll be a bit easier to work with if we convert the 2011 minutes into hours.
So take 2011 minutes and divide it by 60 to get the number of hours.
2011 / 60 = 33 hours and 31 minutes
You wouldn't be able to easily get the exact number of minutes from a calculator. You'll need to use long division. The remainder will be the number of minutes. If you want to check you can multiply the number of hours by 60 and add 31 to the product. If it doesn't equal 2011 minutes then something is amiss.
12:00 AM
Since we know this is a 24 hour clock we can subtract 24 from our number of hours. (Just remember that this is the next day)
12:00 AM with 9 hours and 31 minutes left.
9:31 AM a day later is our time!<u />