Since they're vertical angles, they're equal in degree measure
since they're equal, we can make the two expressions equal to each other
5a - 1 = 2a + 20
add 1 to both sides
5a = 2a + 21
subtract 2a from both sides
3a = 21
divide both sides by 3a
a = 7
now, plug the answer you found for a into one of the two expressions
5a - 1 becomes (5*7) - 1, which equals 34
to double check that they're equivalent (since they're vertical angles)
2a + 20 becomes (2*7) + 20, which equals 34
both angles are 34 degrees!
Answer:
The total number of games won by Unicorn is 40.
Step-by-step explanation:
- We are given with a word problem
- We are asked to find the number of unicorns played during the season
- We can do this in two steps
Step 1: Finding the win percentage
Step 2: Finding the number of unicorns played during the season
Step 1 of 2
Let the number of games played by unicorn be x.The unicorn won 60% of the first x-10 games That is 
Combining the 8 games we get,
Step 2 of 2
The unicorn totally won 65% of the games played.
That is 
Equating both the equation gives
The coordinates of B and C are solutions to the system of inequalities because both are true to the two inequalities. A is not a solution to the system of inequalities because it is only true to “y is less than or equal to 2x”.
Answer:
Are there multiple choice options? If so, please include them. That way I will actually be able to help you :)
Step-by-step explanation:
9 represents the event, 13 represents all possible events.
I have a bag of 13 marbles. 9 of my marbles are blue, 4 are red. My probability of reaching in and pulling out a blue marble at random is 9/13 (Which is 69%)
