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Anvisha [2.4K]
3 years ago
12

What is the sum of the exterior angles of a 21 sided polygon

Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles for any polygon is 360°

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The slope for 5 and 2
Yuri [45]

\qquad\qquad\huge\underline{{\sf Answer}}♨

As we know, slope (m) is equal to tan θ for a straight line :

\qquad \tt\dashrightarrow \: m = \tan( \theta)

\qquad \tt\dashrightarrow \: m =  \dfrac{5}{2}

So, we can say that it's a positive constant slope

8 0
2 years ago
This table gives points on a line. What is the equation of the line?
vitfil [10]

Answer:

y = -2x + 5

Step-by-step explanation:

Assuming this is linear, the slope would be constant. For every 1 x, y decreases by 2. This means that the slope is -2.

y = -2x + b

Now all we need is the y-intercept.

If we plug in the first point (1,3), we get:

3 = -2*1+b

3 = -2+b

b = 5

This is the y-intercept.

y = -2x + 5

6 0
3 years ago
Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
Nataly [62]

Answer:  $454.55

Step-by-step explanation:

Tito's weekly salary is always $ 500 per week.

But your weekly commission income depends on the sales you make. Your commissions are 55%.

If we call x the dollar amount of all sales made by Tito in a week, then his income z(x) is given by the following equation:

z (x) = 0.55x + 500

We wish that z (x) = 750.

Then we equate the equation to 750 and solve for the variable x.

0.55x + 500 = 750\\\\0.55x + 500-500 = 750-500\\\\0.55x = 250

\frac{0.55}{0.55}x = \frac{250}{0.55}

x = \$\ 454.55

Total sales made by Tito must be $454.55

7 0
3 years ago
A. Is the sum of two polynomials always a polynomial? Explain
IgorLugansk [536]

Answer:  The answers for both (a) and (b) is YES.


Step-by-step explanation: A polynomial is an algebraic expression containing   two or more algebraic terms, i.e., the sum of several terms that contain different powers of the same variable or variables with real coefficients.

For example, p(x) = 4x²+x+2 is a polynomial in variable 'x'.

(a) Yes, the sum of two polynomials is again a polynomial. For example,

if p(x) = ax² + bx + c  and  q(x) = dx² + ex + f, where, a, b, c, d, e and f are real numbers, then their sum will be

p(x) + q(x) = (a+d)x²+(b+e)x+(c+f), which is again a polynomial in 'x' with real coefficients.

(b) Yes, the difference of two polynomials is again a polynomial. For example,

p(x) - q(x) = (a-d)x²+(b-e)x+(c-f), which is again a polynomial in 'x' with real coefficients.

Thus, the answer is YES.

6 0
3 years ago
Part I: Describe the center and radius of the circle.
trasher [3.6K]

Answer:

Center (2,4) , radius=3, h=2 v=4 & r=3

Step-by-step explanation:

Ok so in order to find the center of the circle, use the graph (like you can see that the x is 2,if you count down from 5 to the left. the y is 4,because it's below 5 in the y pole).So the center is (2,4)

Now, in order to find the length of the radius, you need to do the following:

Take the center point (2,4) and the point where the circle ends (2,1) . Because radius is a straight, you can substract the y values of the two points : 4-1=3

As you can see in the equation, the h symbolizes the x of the center point and the v symbolizes the y.The r is the radius that we already found(3)

So it's shouldn't be a problem now to find the equation of the circle,simply replace the values with their numbers:

(x-2)^2 + (y-4)^2 = 9

4 0
3 years ago
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