Explain how to solve 3x - 1 = 1 - 3x
2 answers:
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Answer:
a) The smallest possible number of sides of the polygon is a regular polygon with 5 sides
b) The largest possible number of sides of the polygon is a regular polygon with 9 sides
Step-by-step explanation:
a) The smallest exterior angle of the polygon = 40°
The largest exterior angle of the polygon = 80°
Therefore, we have the interior angles are;
The smallest interior angle of the polygon = 180° - 40° = 140°
The largest interior angle of the polygon = 180° - 80° = 100°
Therefore, we have
The interior angles of a regular polygon are given by the following formula;
For an interior angle of 100°, we have;
100/180 × n = n - 2
2 = n - 100/180 × n = 4/9·n
2 = 4/9·n
n = 18/4 = 4.5
Therefore, given that a square has an interior angle of 90° we have the smallest possible number of sides polygon = 5 sides
b) For 140°, we have;
140/180 × n = n - 2
2 = n - 140/180 × n = 2/9·n
2 = 2/9·n
n = 18/2 = 9
n = 9 sides
Therefore, the largest possible number of sides = 9 Sides.
Answer:
15
Step-by-step explanation:
Note: Take note , absolute value will give the magnitude of the value. (Which means ignoring the + / - signs.)
Eg. | - 19 | = 19
Therefore,
Answer:
The completely factored polynomial is:
⇒
Step-by-step explanation:
Given polynomial:
To factor the given polynomial completely.
Solution:
In order to factor the given polynomial, we will find the greatest common factor of the terms and then factor them out by dividing the term by its G.C.F.
The factors can be listed as:
From the factors listed the GCF can be given as =
GCF =
Factoring out the GCF.
The above expression can be simplified by factoring out -1.
(Answer)