From this picture you can calculate coordinates of triangles' vertices:

.
Since
you can conclude that points A, B, C are rotated by

about the point (-0.5,0) to form points J, G, H, respectively.
Answer: A is correct choice.
the answer would be 4.47
because every whole number is made out of 100 small parts.
So that would be like 400-53 which is 447 and then add the decimal point. That would make it 4.47
Answer:
the graph on the right-top
Step-by-step explanation:
Transferring an "x" to the right side in
, we get 
The system of inequalities is

We have y=2x+2 - ascending function with a=2, b=2
b=2 shows that ascending function intersects Y-axis is in y=2 - that situation is only on the right-top and left-down. So, we refuse left-top and right-down.
y=-x-3 - descending function with a=-1, b=-3
y<2x+2 is an area below the ascending function and we see that on the left-
is an area above the descending function
On the left-down we have an area above both functions, so we refuse this picture
Right-top is correct
Answer:
And we can find the individual probabilities:
And replacing we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability associated to a failure would be p =1-0.09 = 0.91
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
And we can find the individual probabilities:
And replacing we got:
Answer: x=40° and y=140°
Step-by-step explanation:
From the figure, we know that x and 40 are vertical angles. Therefore, they are equal to each other.
x=40°
With the value of x, we know that x and y are supplementary angles. That means they are equal to 180°.
40+y=180 [subtract both sides by 40]
y=140°
Now we know x=40° and y=140°.