Find the measure of one interior angle of a regular 7-gon

Mathematics

1 answer:

Mama L [17]2 years ago

5 0

Answer:

128.57 degrees

Step-by-step explanation:

To find the measure of an interior angle of a regular polygon with $n$ sides, we can use the formula: $\frac{180(n-2)}{n}$

To find the measure of an interior angle of a polygon with 7 sides, all we have to do is plug in 7 into the formula:

$\frac{180(7-2)}{7}$

7 minus 2 equals 5, so the answer is

$180(5)$ ÷ $7$

180 times 5 is equal to 900, and 900 divided by 7 is approximately 128.57

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1. What values of a, b, and c would you use in the quadratic formula for the following equation?

Archy [21]

Question (1):
The general formula of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
5x² + 9x = 4
Rearrange the given equation to look the standard one:
5x² + 9x - 4 = 0
Now, compare the coefficients in the given equation with the standard one, you will find that:
a = 5, b = 9 and c = -4

Question (2):
The given expression is:
-5 + 2x² = -6x
Rearrange this expression to be in standard form:
2x² + 6x - 5 = 0
This means that:
a = 2
b = 6
c = -5
The roots of the equation can be found using the formula in the attached image.
Substituting in this formula with the given a, b and c, we would find that the correct choice is third one (I have attached the correct choice)

Question (3):
Quadratic formula (the one used in the previous question, also shown in attached images) is the best method to get the solution of any quadratic equation. This is because, putting the equation in standard form, we can simply get the values of a, b and c, substitute in the formula and get the precise solutions of the equation.

Hope this helps :)