The linear equation that represents the relationship between the variables in the given chart is y = 7x. This is because for every increase of 1 in the x-variable, the y-variable increases by 7, indicating a linear relationship.
The type of equation that shows the relationship between the variables in the chart with x: 1,2,3,4,5 and y: 7,14,21,28,35 is a linear equation. In this case, for every increase of 1 in the x-variable, the y-variable increases by 7. This indicates a direct relationship.
The equation can therefore be presented in the form y = mx + b where 'm' represents the slope of the line (the amount y changes for each unit increase in x), and 'b' represents the y-intercept (the value of y when x = 0).
In this case, the y increases by 7 for each 1 increase in x, therefore m = 7. As the series starts from 7 when x = 1 (not 0), the y-intercept is 0 (since there is no decrease by going back to x = 0), therefore b = 0. This leaves us with the equation y = 7x + 0 which simplifies to y = 7x.
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The scientific notation of 12.312 trillion is .
Scientific notation is a means of representing large number numbers in standard form using power of 10.
The given number
= 12.312 trillion
There are 12 zeros in a trillion.
The scientific notation of 12.312 trillion is .
Learn more about scientific notation here: brainly.com/question/1199149
1.) What is the sum of the interior angles of a polygon having 8 sides?
2.) Find the measure of the exterior angle of a regular decagon.
3.) Find the number of diagonals of a nonagon.
4.) What is the measure of each angle of a regular nonagon?
5.) if the sum of the measures of the angles of a regular polygon is 900, then
what is the number of sides?
1. 1080°
2. 36°
3. 27 diagonals
4. 140°
5. 7 sides
1. The sum S of the interior angles of a polygon is given by;
S = (n-2) x 180°
Where;
n = number of sides of the polygon.
Therefore, to get the sum of the interior angles of a polygon having 8 sides, we substitute n = 8 into equation (i) as follows;
S = (8 - 2) x 180°
S = 6 x 180°
S = 1080°
Therefore, the sum of the interior angles of a polygon having 8 sides is 1080°
2. The sum of interior angles of a polygon is given by;
S = (n - 2) x 180°
For a polygon which is a regular decagon where the number of sides n = 10, the sum is;
S = (10 - 2) x 180°
S = 8 x 180°
S = 1440°
Since the decagon is regular, then each of its interior angles is given by;
1440° / 10
=> 144°
Now, since we know that the sum of the interior angle and exterior angle will give 180°, then;
The exterior angle of a regular decagon is;
180° - 144° = 36°
Therefore, the exterior angle of a regular decagon is 36°
3. The number of diagonals N of a polygon with n sides is given by;
N =
So, for a nonagon which has 9 sides (i.e n = 9), the number of diagonals is;
N =
N =
N = 9(3)
N = 27
Therefore, a nonagon has 27 diagonals.
4. The sum of interior angles of a polygon is given by;
S = (n - 2) x 180°
For a polygon which is a nonagon where the number of sides n = 9, the sum is;
S = (9 - 2) x 180°
S = 7 x 180°
S = 1260°
Since the nonagon is regular, then each of its interior angles is given by;
1260° / 9
=> 140°
Therefore, the measure of each angle (interior angle) of a regular nonagon is 140°
5. The sum of the interior angles of a polygon is given by;
S = (n - 2) x 180°
So if the sum is 900, then to get the number of sides of the polygon, we substitute S = 900 into the equation;
900° = (n - 2) x 180°
Divide through by 180°
5 = (n - 2)
Solve for n;
n = 5 + 2
n = 7
Therefore, the regular polygon has 7 sides.
The answer would be 1000. Hope this helps.
A. 12m+4
B. -11m2-3m
C. -11m2+6m
D.5 m + 4
Answer:
Answer:
Hi
MODE
Step-by-step explanation:
The most frequent attribute is the MODE