Answer:
Find out all the other angles, and add them together. Subtract 180 - all the other angles combined.
BOOM, you found x for the interior angles.
The answer is 168. 12% is also 0.12. 150(0.12) is 18. 150+18=168
To find the average rate of change, use the following formula:

a and b represent the values of the interval:

Simplify the original equation by combining like terms:


Plug the interval values into the f(x) equation:


Plug in these values into the average rate of change formula:

The average rate of change over this interval is
-11.
Answer:
c. quarterly
Step-by-step explanation:
To start with 1 year is equal to twelve months
3months out of 12 months will be;
3/12= 1/4
Here it is compounded quarterly and n=4 where n is the number of compoundings a year.
Lets study the compound interest formula;

where;
A=The ending amount
P=Starting amount
r=rate of interest expressed as a decimal
n=number of compoundings a year
t=total number of years
The number of compoundings in any one year can be an interest compounded yearly where n=1, semi-annually with n=2, quarterly where n=4, monthly where n=12, weekly and n=52 and finaly daily with n=365.
Answer:
<u>The length of the longer segment of the 50 cm chord = 40</u>
Step-by-step explanation:
let the length of the longer segment of the 50 cm chord = x
so, the other segment = 50 - x
A chord of 50 cm bisects a chord of 40 cm
using the Intersecting Chords Theorem
so, x(50-x) = 20 * 20
50x - x² = 400
x² - 50x + 400 = 0
(x - 40)(x - 10) = 0
x = 40 or x = 10
<u>So, the the length of the longer segment of the 50 cm chord = 40</u>