Answer: OPTION B.
Step-by-step explanation:
When parallel lines are cut by a transversal several angles are formed.
There are pairs of angles called "Alternate Interior angles".
These angles are not adjacent and they are located between the parallel lines, and on opposite sides of the transversal.
By definition, they are are congruent, or, in other words the measure of Alternate Interior angles are equal.
In this case, you can identify that the 
and the 
are Alternate Interior angles.
Based on the data given in the exercise, you know that the measure of the angle 8 is:
So, You can determine that the angle 2 have the same measure. This is:
Step-by-step explanation:
What is 40% of 400?
- Convert the problem to an equation using the percentage formula: P% * X = Y
- P is 40%, X is 400, so the equation is 40% * 400 = Y
- Convert 40% to a decimal by removing the percent sign and dividing by 100:40/100 = 0.4
- Substitute 0.10 for 10% in the equation: 40% * 400 = Y becomes 0.4 * 400 = Y
- Do the math: 0.4 * 400 = 160
- Y = 160
- So 10% of 150 is 160
- Double check your answer with the original question: What is 40% of 400? Multiply 0.4 * 400 = 160
Answer:
28
Step-by-step explanation:
12+[(15-5)]+(9-3)]
PEMDAS
Parentheses first
12+[(10)]+(6)]
Then add
12+10+6
Answer:
Step-by-step explanation:
The problem states that there are only two types of busses - M104 and M6 with probable occurence of 0.6 and 0.4 respectively.
If the average number of busses arriving per hour is λ, the average number of M6 busses per hour is 0.4λ
Now consider a set of 3 M6 busses as an event. The average number of such events per hour will be
μ = 0.4λ / 3
The expected number of hours for the event "THIRD M6 arrives", let's say X is
E[X] = 1 / μ ( exponential distribution) = 3 / 0.4λ
= 7.5 / λ
The variance of event X is =
![Var[x] = \frac{1}{U^2} = \frac{56.25}{\lambda ^2}](https://tex.z-dn.net/?f=Var%5Bx%5D%20%3D%20%5Cfrac%7B1%7D%7BU%5E2%7D%20%3D%20%5Cfrac%7B56.25%7D%7B%5Clambda%20%5E2%7D)
Let's look at each pair and change it so the first one in the pair will be what the second one will be converted to.
8,600 mg = 86,000 mg; So now, the first one is not equivalent.
2,500 g = 250,000 g; Not that one either.
3.4 kg = 3.4 kg; This one is correct. We can check by checking the last pair.
480 g = .0048 g; Nope.
So 3.4 kg, 3400 g would be the correct answer.
