What is the length of side BC of the triangle? Make sure to show all of your work!
1 answer:
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Answer:
The measure of the sum of interior angles of a 11-gon is .
Each interior angle is approximately .
Step-by-step explanation:
A convex polygon has the measure of each interior angles to be less than .
But,
sum of interior angles of polygon = (n - 2) x
where n is the number of sides of the polygon.
For a convex 11-gon, we have;
sum of angles of a 11-gon = (11 - 2) x
= 9 x
=
Sum of angles of a 11-gon =
To check: convex polygons' interior angles are less than .
so that,
each interior angle of 11-gon =
=
Brief review of proportionality relationships:
When two quantities
are 
proportional, that means any change in 
manifests a 
change (think "in the same direction") in 
.
Silly example: "The more I eat, the fatter I get." Here the amount one eats is directly proportional to one's body weight.
This change isn't always one-for-one, so we introduce a constant
to account for any scaling that occurs on either variables behalf. In general, though, we can write a directly proportional relationship as 
.
Now, when are 
proportional, then a change in manifests a change in in the 
(opposite) direction.
Silly example: "The more I eat, the less thin I get."
This time we write the relation as
.
To get back to your problem: To say that the rate of change of
is inversely proportional to 
is to say that there is some constant such that
This is a separable ODE:
When two quantities
Silly example: "The more I eat, the fatter I get." Here the amount one eats is directly proportional to one's body weight.
This change isn't always one-for-one, so we introduce a constant
Now, when
Silly example: "The more I eat, the less thin I get."
This time we write the relation as
To get back to your problem: To say that the rate of change of
This is a separable ODE: