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Andrews [41]
3 years ago
5

If the polygon shown below is a regular nonagon what is the value of x?

Mathematics
1 answer:
jeyben [28]3 years ago
3 0
The sum of the measures of the angles of a polygon is given by (<em>n</em> - 2)(180), where <em>n</em> is the number of sides.  In this case we would have (9-2)(180)=7(180)=1260.  This is the <u>sum</u> of the angles.  Since it is a regular nonagon, that means that all sides are congruent and all angles are congruent.  Therefore we find the measure of each individual angle by dividing the sum, 1260, by the number of sides, 9.  1260/9=140.  <em>x</em> forms a linear pair with one of the interior angles; that means that the interior angle, 140, added to <em>x</em> would give us 180.  Therefore we find <em>x</em> by subtracting 180-140. <em>x</em> = 40.
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Help pls. will give brainliest.
vladimir1956 [14]

Answer:

A

Step-by-step explanation:

3 0
2 years ago
2. Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i and 2-2i.
inna [77]

The polynomial equation for the given roots is x³-7x²+20x-24=0.

Given that, the polynomial equation of the smallest degree whose roots are 3, 2+2i and 2-2i.

Now, we need to write the polynomial equation.

<h3>What is a polynomial equation? </h3>

A polynomial equation is an equation where a polynomial is set equal to zero. i.e., it is an equation formed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It has different exponents. The highest one gives the degree of the equation. For an equation to be a polynomial equation, the variable in it should have only non-negative integer exponents. i.e., the exponents of variables should be only non-negative and they should neither be negative nor be fractions.

Now, x=3, x=2+2i and x=2-2i

x-3, x-2-2i and x-2+2i

So, the polynomial equation is (x-3)(x-2-2i)(x-2+2i)=0

⇒(x-3)(x(x-2-2i)-2(x-2-2i)+2i(x-2-2i))=0

⇒(x-3)(x²-2x-2xi-2x+4+4i+2xi-4i-4i²)=0

⇒(x-3)(x²-2x-2x+4-4i²)=0

⇒(x-3)(x²-4x+4+4)=0 (∵i²=-1)

⇒(x-3)(x²-4x+8)=0

⇒x(x²-4x+8)-3(x²-4x+8)=0

⇒x³-4x²+8x-3x²+12x-24=0

⇒x³-7x²+20x-24=0

Therefore, the polynomial equation for the given roots is x³-7x²+20x-24=0.

To learn more about the polynomial equation visit:

brainly.com/question/20630027.

#SPJ1

3 0
1 year ago
91/100 in simplest form
otez555 [7]
91/100 is already in simplest form
3 0
2 years ago
How to find the area
sp2606 [1]
You know from trigonometry that AB = 15 units, so the area of the larger triangle ACB is (1/2)*15*15 = 112.5 units^2.

Then the area of triangle ADE is
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7 0
3 years ago
Find the 78th term of the arithmetic sequence –4,-2,0,...
MArishka [77]

The number is increasing by 2 every time.

78 x 2 = 156

-4 + 156 = 152

The 78th term is 152

8 0
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