What value of x is in the solution set of 3(x-4)>/= 5x+2

Answer:

1. 1080°

2. 36°

3. 27 diagonals

4. 140°

5. 7 sides

Step-by-step explanation:

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.

Answer:

12

Step-by-step explanation:

72/6=12

48/4=12

The gold standard is  No longer used by many countries. Therefore, the correct option is option B.

What is gold standard?

A monetary system known as the "gold standard" links the value of a nation's currency or paper money directly to the price of gold. Countries agreed to exchange paper money for a certain amount of gold under the gold standard. A nation that adheres to the gold standard establishes a fixed gold price and buys and sells gold at that rate.

The value of the currency is established using that set price. The worth of a dollar, for instance, would be equal to 1/500th of an ounce of gold if the U.S. fixed the price of gold at $500 per ounce. The gold standard is  No longer used by many countries.

Therefore, the correct option is option B.

To know more about gold standard, here:

brainly.com/question/25066820

#SPJ2

Answer:

Step-by-step explanation:

We can simplify this expression by combining like terms.

To combine like terms, we are looking for terms that share the same variable and exponent.

First, we can see that the terms and share the same variable (h) and the same exponent (2).

This simplifies to .

Next, we can see that and share the same variable (h) and the same exponent (1) so we can add these.

This simplifies to .

Lastly, we can see that we just have 7, no more terms with the same variable (none). So this is 7.

Adding up all the terms in standard form (), we get .

Hope this helped!

Answer:

y=-4 to 4

x=-1 to -7

Step-by-step explanation:

Answer:

y = 2x + 9

Step-by-step explanation:

The y-intercept:9

Slope:2x