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Bas_tet [7]
3 years ago
13

The size of each interior angle of a regular polygon is 8 times the sizes of each exterior angle.

Mathematics
2 answers:
GuDViN [60]3 years ago
6 0

Answer:

18 sides

Step-by-step explanation:

Exterior angle: x = 360/n

Interior angle: 8x = (n-2)×180/n

(n-2)×180/n = 8 × 360/n

n - 2 = 16

n = 18

olga55 [171]3 years ago
5 0

Answer:

20

Step-by-step explanation:

To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has. For example, an eight-sided regular polygon, an octagon, has exterior angles that are 45 degrees each, because 360/8 = 45.

If each interior angle is 8 times the degree measure of each exterior angle how many sides does the polygon have. Now 8+1 = 9. Divide 180 by 9 to get 20.

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Write an equation that has the solution x = −2
Travka [436]

Answer:

6x + 4 = -8

Step-by-step explanation:

6 (-2) = -12

-12 + 4 = -8

Hope this helps!

4 0
3 years ago
The price of a computer was decreased by 7% to £500. What was the price before the decrease? Give your answer to the nearest pen
inessss [21]
It’s 500.07
all i did was solve x-7%=500 and got 500.07.
3 0
2 years ago
A^2(64a^2-3)/3=27-4a^2/4
frutty [35]
The answer is a = 3/4 = 0.75

First get rid of the paranthesis,
{a}^{2} (64 {a}^{2}  - 3) = 64 {a}^{4} -  3 {a}^{2}
Then set the denominators equal:
\frac{ 256 {a}^{4}  - 12 {a}^{2}}{12}  =  \frac{81 - 12 {a}^{2} }{12}
Then remove the denominators and solve:
256 {a}^{4}  - 12 {a}^{2}  = 81 - 12 {a}^{2}
Eliminate -12a^2 by adding 12a^2 to both sides:
256 {a}^{4}  = 81
Take the fourth root of them or take the square root twice:
\sqrt[4]{256 {a}^{4} }  =  \sqrt[4]{81}   \\  4a = 3
Divide both sides by 4:
a =  \frac{3}{4}  = 0.75
7 0
3 years ago
Explain how to identify the restrictions on the variable when adding or
anastassius [24]

Rational expressions are those that have fractional terms. We state restrictions because it may cause the equation to be undefined in some values of x. The most common restriction for rational expressions is N/0. This means any number divided by zero is undefined.

<h3>What is rational expressions and examples?</h3>

A rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials. Here are some examples of rational expressions.

To find the restrictions on a rational function, find the values of the variable that make the denominator equal 0.

  • 6x-1z2-1z2+5m4+18m+1m2-m-64*2+6*-101

Learn more about rational expressions here:

brainly.com/question/9353162

3 0
2 years ago
The table shows the linear relationship in a tank and time.
cluponka [151]
y = mx + b

y = slope (x) + y - intercept

To find the slope we need to find out how much the x's and y's increase or decrease...

To find the y - intercept if any, simply​ look for coordinates ( 0 , y ) or 0 and a #.

~~

In this case, as time passes, the water level decreases therefore we have a negative slope.

Time is our x and amount (ft) is our y.

On the x side it increases by 2

On the y side it decreases by 10

Now do y over x ==> 10 over 2 and get 5 ==> m

-5 is our slope and 50 is our y - intercept

~~

The "rate of change" is another word for slope.

Well, slope is - 5ft is our slope.

y = - 5x + 50

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
6 0
3 years ago
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