Answer:
x = 24
Step-by-step explanation:
(2x - 4) + (3x + 5) + (2x + 11) = 180°
Combine like terms:
7x + 12 = 180
Subtract 12 on both sides:
7x = 168
Divide 7 on both sides:
x = 24
Answer:the output for a wind speed of 40 miles per hour is 810.8 kilowatts.
Step-by-step explanation:
The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. This means that
P is directly proportional to S
Introducing a constant of proportionality, k, it becomes
P = kS
A wind speed of 37 miles per hour produces a power output of 750 kilowatts. This means that
750 = k × 37
k = 750/37 = 20.27
The expression becomes
P = 20.27S
Therefore, the output for a wind speed of 40 miles per hour would be
P = 20.27 × 40
P = 810.8
To solve this problem you must apply the proccedure shown below:
1- You have that the equation of the line is:

Where
is the slope and
is the y-intercept.
2- Based on the information given in the problem, the lines
and
are parallel, which means that both have the same slope. Therefore, you can calculate the slope of
:


3- Use the coordinates of the point
to calculate the y-intercept:

4. Solve for
:

5. The equation of the line
is:

The answer is: 
Answer: They are similar in that when you multiply 2 fractions, you merely multiply the numerators together and the denominators together they are different in that a division still remains once the multiplication is completed.
Step-by-step explanation: ^
Answer:
x = 3
y = 2
Step-by-step explanation: