Find the Quotient and Remainder. 5x^3 - 6x^2 + x + 7 divided by x^2
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Answer:
The value of n is 21.
Step-by-step explanation:
We are given that three of the exterior angle of the n-sided polygon are 50° each two of its interior angle are 127° and 135° and the remaining interior angle are 173 each.
As we know that the sum of all exterior angles of the polygon is 360°. Also, the number of remaining interior angles will be (n - 5).
And, the exterior angle = 180° - the interior angle.
So, according to the question;
150 + 53 + 45 + 7(n - 5) = 360
248 + 7n - 35 = 360
213 + 7n = 360
7n = 360 - 213
7n = 147
n =
n = 21
Hence, the value of n is 21 and this is a 21-sided polygon.
Perimeter is the sum of all the sides. So we can set up an equation:
Now solve for 'x', combine like terms:
When it comes to terms with variables it's just like normal addition but we keep the variable:
So we have:
Add:
Subtract 7x to both sides:
Subtract 4 to both sides:
Divide 5 to both sides:
Now solve for 'x', combine like terms:
When it comes to terms with variables it's just like normal addition but we keep the variable:
So we have:
Add:
Subtract 7x to both sides:
Subtract 4 to both sides:
Divide 5 to both sides: