Answer:
a. 28˚
b. 76˚
c. 104˚
d. 56˚
Step-by-step explanation
a. because angle between tangent and chord is equal to the angle(s) in alternate segment.
b. because angles in triangles add up to 180˚, 180-28=152 and because isosceles triangle, 152/2=76˚
c. because angles in triangles add up to 180˚ and opposite angles in a cyclic quadrilateral add up to 180˚, 31+76=107, 180-107=73, 73-28=45, angles in triangle so 180-(31+45)=104˚
d. 28*2=56˚ because angles at circumference are half angles at centre
Given:
Original price = 20
reduces selling price by 25% every month it's not sold.
First markdown month:
20 * (100%-25%) = 20 * 75% = 15
Second markdown month
15 * 75% = 11.25
Macy, employee gets a 50% discount off the current price.
11.25 * 50% = 5.625
11.25 - 5.625 = 5.625 or 5.63
The pre-tax price of the shirt for Macy will be $5.63
Question: The sample data and the scatter plot was not added to your question. See the attached file for the scatter plot.
Answer: Yes
Step-by-step explanation:
From scatter plot, it was discovered that there is a linear relationship between the two variables and both variables are quantitative.
Therefore, it appropriate to use the correlation coefficient to describe the strength of the relationship between "Time" and "Fish Quality"?
Answer:
No. The results of the survey cannot be generalized to the population of all customers of the shopping mall.
Step-by-step explanation:
Survey results are biased, because data is collected from customers who came trough one specific door of the mall.
Some of the customers <em>may be using some other door </em>where satisfaction survey is not given to these people while passing the door.
Therefore survey results does not reflect thoughts of the population of all customers.
Answer:
Step-by-step explanation:
Let 
Subbing in:

a = 9, b = -2, c = -7
The product of a and c is the aboslute value of -63, so a*c = 63. We need 2 factors of 63 that will add to give us -2. The factors of 63 are {1, 63}, (3, 21}, {7, 9}. It looks like the combination of -9 and +7 will work because -9 + 7 = -2. Plug in accordingly:

Group together in groups of 2:

Now factor out what's common within each set of parenthesis:

We know this combination "works" because the terms inside the parenthesis are identical. We can now factor those out and what's left goes together in another set of parenthesis:

Remember that 
so we sub back in and continue to factor. This was originally a fourth degree polynomial; that means we have 4 solutions.

The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis. Factoring
gives us that x = 1 and -1. The other set is a bit more tricky. If
then
and

You cannot take the square root of a negative number without allowing for the imaginary component, i, so we do that:
±
which will simplify down to
±
Those are the 4 solutions to the quartic equation.