Answer:
x=14
Step-by-step explanation:
This is asking for the ratio of A to B.
The x-10 is 1.
The 28 is 7.
Find the scale factor by executing 28/7=4.
So, you would want polygon A to be 4 in order to be proportional to polygon B.
Now, you can just guess and check that 14-10=4
Or, you can set up the equation as follows: x-10 = 4
+10 +10
x = 14 is your answer.
A stock portfolio's overall beta is found by multiplying each stock's beta times the percentage of the overall portfolio it makes up and adding these terms together. Since the current portfolio's beta is known, we can treat all the stocks in the portfolio as a single stock for calculating its weight in the new portfolio. Thus, our new portfolio will have a value of $150,000, $100,000, or 2/3, of which has a beta of 1.5 and $50,000, or 1/3, of which has a beta of 3. Then the beta of the new portfolio will be 1.5*(2/3) + 3*(1/3) = 2.
Answer:
5
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem
a^2+b^2 = c^2
where a and b are the legs and c is the hypotenuse
QR^2 + 12^2 = 13^2
QR^2 +144 =169
QR^2 = 169-144
QR^2 =25
Take the square root of each side
QR = sqrt(25)
QR =5
Answer:
Step-by-step explanation:
Answer:
n = 16, AC = 60, DE = 30
Step-by-step explanation:
DE joins the midpoints of 2 sides of the triangle and is half the length of the third side, that is
DE = 
AC , substitute values
n + 14 = (3n + 12) ← multiply both sides by 2 to clear the fraction
2n + 28 = 3n + 12 ( subtract 2n from both sides )
28 = n + 12 ( subtract 12 from both sides )
16 = n
Then
AC = 3n + 12 = 3(16) + 12 = 48 + 12 = 60
DE = n + 14 = 16 + 14 = 30
