Answer:
144°
Step-by-step explanation:
step 1
Find the measure of the central angle of the regular pentagon
Divide 360 degrees by 5 (the number of sides)

Let
c----> the center of the pentagon
we know that
m∠ECA=72°
m∠ACB=72°
therefore
m∠ECB=m∠ECA+m∠ACB
substitute the values
m∠ECB=72°+72°=144°
The measure of angle ECB is equal to the degrees that the pentagon rotate
Answer:
is an even function.
Step-by-step explanation:
Recall when it means when a function is even or odd. An even function has the following property:

And an odd function has the following property:

So, let's test some values for cos(x).
Let's use π/3:

From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).
Now, let's find -π/3. This is the same as 5π/3. Thus:

And again from the unit circle, we can see that this is 1/2.
Therefore, despite the negative, the function outputs the same value.
Cosine is an even function.
Notes:
Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!
Answer:
The cost function that represents this scenario is c(x) = 2 + 0.50x .
Option (b) is correct .
Step-by-step explanation:
As given
Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie.
if x equals the number of nights Laura has the movie.
Than the cost function that represents this scenario .
c(x) = Flat fee + Cost for x equals the number of nights Laura has the movie.
c(x) = 2 + x × 0.50
c(x) = 2 + 0.50x
Therefore the cost function that represents this scenario is c (x) = 2 + 0.50x .
Option (b) is correct .
The slope of the line passing through (1,-5) and (4,1) is 2
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Multiplication Property of Equality] Cross-multiply:

- [Division Property of Equality] Divide 5 on both sides:
