Find the missing angle measurments geometry
1 answer:
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Answer:
n=21
Step-by-step explanation:
We must find n.
Remember PEMDAS. First we must do the Parentheses. Lets do distributive property by multiplying a number that is immediately outside the parentheses with each number inside the parentheses. Lets do this one side at a time.
First lets do 5(n - 7). We get 5n - 35
Now 2(n + 14) is 2n + 28
Okay...... now we have
Now lets do OPPOSITES!!!! We must do the opposite of each thing to both sides.
The opposite of -35 is positive 35. Lets add 35 to both sides. We get:
Now lets do the opposite of 2n which is -2n
this is looking quite nice isnt it..........
The opposite of 3 times n is 3 DIVIDED BY n. So lets divide both sides by 3
amazing.......
We want to see which is the conic equation that has 2 squares with the same sign and different leading coefficients.
We will see that it is the equation of the ellipse.
Now let's see why that is the correct answer.
The general conic equation is of the form:
Where A and B are the leading coefficients, (a, b) is the center of the figure, and R is the average radius of the figure.
For example, if A = B, this would be the equation of a circle, but we must have two different leading coefficients.
If we write:
A = 1/C
B = 1/K
(both are positive, because "it has two squares with the same signs").
Then we get the equation:
We get the equation we wanted.
The same sign in both square parts and different leading coefficients.
The above equation is the general equation of an ellipse.
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