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kipiarov [429]
3 years ago
13

Find the value of x using the polygon above.

Mathematics
2 answers:
Aneli [31]3 years ago
8 0

Answer:

x=5

Step-by-step explanation:

The sum of the interior angles of a polygon is found by

(n-2)*180 where n is the number of sides

There are 6 sides

(6-2) *180

4*180

720

The sum of the angles is 720

18x+25x+28x+26x+29x+90=720

Combine like terms

126x +90=720

Subtract 90 from each side

126x +90-90=720-90

126x =630

Divide by 126 on each side

126x/126 = 630/126

x=5

fiasKO [112]3 years ago
3 0

Answer:

5

Step-by-step explanation:

This is a hexagon (6 sides)

Total angle should be:

(6 - 2)(180) = 720

In terms of x:

Total angle = 126x + 90

720 = 126x + 90

x = 5

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Answer:

$216

Step-by-step explanation:

Do \frac{20}{100} = 0.2. Now you do 270 x 0.2, which equals 54. Finnaly you do 270-54, which equals 216. So now you have your answer.

7 0
3 years ago
Find two numbers whose difference is 164 and whose product is a minimum. (smaller number) (larger number)
77julia77 [94]
The lowest possible product would be -6724 given the numbers 82 and -82. 

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference. 

Next we'll multiply the numbers together. 
x(x+164)
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Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second. 

x + 164
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82
4 0
3 years ago
A batsman scored the following number of runs in six innings:
vlabodo [156]

Answer:

D

Step-by-step explanation:

The mean or average is calculated by summing each element and then dividing by the number of elements.

We have: 35, 30, 45, 65, 44, and 21.

There are six elements in total.

We find the sum by adding. Hence:

35+30+45+65+44+21=240

We will now divide by 6, the number of elements:

240/6=40

Therefore, the mean runs scored by the batsman is 40.

Hence, our answer is D.

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Step-by-step explanation:

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