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Answer:
Part 1) The measure of arc EHL is 
Part 2) The measure of angle LVE is 
Step-by-step explanation:
step 1
Let
x-----> the measure of arc EHL
y----> the measure of arc EVL
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so

we have

substitute

------> equation A
Remember that
-----> equation B ( complete circle)
substitute equation A in equation B and solve for x



Find the value of y


therefore
The measure of arc EHL is 
The measure of arc EVL is 
step 2
Find the measure of angle LVE
we know that
The inscribed angle measures half that of the arc comprising
Let
x-----> the measure of arc EHL

we have

substitute

Answer:
b = -152
Step-by-step explanation:
- 7 + 12 = 19
- Plug 19 in:
- Multiply each side by 19 to cancel out the 19 under b. It should now look like this: b = -152
I hope this helps!
Answer:
And using the normal standard table or excel we find the probability:

Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then, the distribution for the sample mean
is given by:
We select a sample of n =50 people. And we want to find the following probability
And using the normal standard table or excel we find the probability:

Answer: The answer is B.
Step-by-step explanation:
First of all, if you just look at the angles, you can already tell that angle A is the right angle, in which you can then cross out A and C. Now you are down to B or D. This was tough but if you remember that the longer leg is square root of 3 times the shorter leg then you can tell that the included angle between the side showing 12 and the side showing 24 is the 60 degree angle. This leaves you to tell that the other angle is 30 degrees.
I hope this helps ;)