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

Mathematics

1 answer:

Mama L [17]3 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:
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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):
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Hope this helps :)