Answer:
the angles s and r are supplementary so 180 - 40 = 140
Step-by-step explanation:
Answer:
The event is mutually exclusive.
Step-by-step explanation:
Mutually exclusive events are events that cannot exist simultaneously.
Thus, events that are not mutually exclusive can exist simultaneously.
Since each student only has one major, a single student cannot be both a mathematics major and a business major.
So, the event is mutually exclusive.
Answer: 120
Step-by-step explanation:
Given : The league championship 800 meter race has 6 runners.
The number of positions = 3
Since order matters here , so we use Permutation.
The permutation of n things taking r at a time is given by :-

Then, the number of different ways they place first, second, and third :_

Hence, they can place first, second, and third in 120 different ways .
Answer:
x = 2
Step-by-step explanation:
Given
- 7x - 3x + 2 = - 8x - 2 ← simplify left side
- 10x + 2 = - 8x - 2 ( add 8x to both sides )
- 2x + 2 = - 2 ( subtract 2 from both sides )
- 2x = - 4 ( divide both sides by - 2 )
x = 2
Answer:

Step-by-step explanation:

Distribute 2 through the parentheses


Hope I helped!
Best regards! :D