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Sergio [31]
3 years ago
6

How many sides does this polygon have ?

Mathematics
2 answers:
maks197457 [2]3 years ago
8 0

Answer:

45

Step-by-step explanation:

To get the measure of the interior angle of a polygon we use the formula (n-2)×180÷n where n is the number of sides of the polygon

We can use this formula in this question by sitting an equation and solving for n

(n-2)×180÷n = 172

Multiply both sides by n

(n-2)×180 = 172n

Distributing the 180

180n - 360 = 172n

Adding 360 and subtracting 172n from both sides

8n = 360

Dividing both sides by 8

N = 45

Zielflug [23.3K]3 years ago
4 0
A polygon has 3 sides
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hree vertices of a triangle are located at A (4, 3), B (2, 1), and C (3, 4). Which shows the correct graph of the vertices? A. A
bagirrra123 [75]

Answer: Choice A

Point A is plotted 4 units to the right and 3 units above the origin. Point B is plotted 2 units to the right of and 1 unit above the origin. Point C is plotted 3 units to the right and 4 units above the origin

====================================================

Explanation:

The point A(4,3) means we start at the origin and move 4 units to the right and 3 units up. The x and y axis are separate number lines to mark a location

B(2,1) means we move 2 units to the right and 1 unit up

C(3,4) means we move 3 units to the right and 4 units up

Each time we plot a new point, we always start at the origin.

3 0
2 years ago
The values of a,b, and c in scientific notation are 3.47 x 10^-6, 4.61 x 10^-7, and 5.52 x 10^-7, respectively. Complete the fol
Mars2501 [29]

Answer:

a)  1.59967 * 10 ^-12

b)    7.52711497

c)  1.590778098 * 10^-1

Step-by-step explanation:

a= 3.47 x 10^-6,

b=4.61 x 10^-7,

c=5.52 x 10^-7

a)  a*b =  3.47 x 10^-6* 4.61 x 10^-7

We multiply the numbers out front and add the exponents

        (3.47*4.61) * 10^(-6+-7)

        15.9967 * 10^-13

But this is not correct scientific notation, we need 1 number in front of the decimal.  Move the decimal 1 place to the left and add 1 to the exponent

1.59967 * 10^(-13+1)

1.59967 * 10 ^-12

b)   a/b = 3.47 x 10^-6/ 4.61 x 10^-7

We divide the numbers out front and subtract the exponents

        (3.47/4.61) * 10^(-6- -7)

         (3.47/4.61) * 10^(-6+7)

         .752711497* 10^1

But this is not correct scientific notation, we need 1 number in front of the decimal.  Move the decimal 1 place to the right and subtract 1 from the exponent

7.52711497* 10^1-1

7.52711497

c)  c/a = 5.52 x 10^-7/3.47 x 10^-6

We divide the numbers out front and subtract the exponents

        (5.52/3.47) * 10^(-7- -6)

        (5.52/3.47) * 10^(-7+6)

          1.590778098 * 10^-1

3 0
3 years ago
The sum of two numbers is 35. The greater
s344n2d4d5 [400]

Answer:

x = 29

y = 6

Step-by-step explanation:

Let the two numbers be represented as x and y

x + y = 35

x = 5y - 1

Substitute x as 5y -1 in equation one

5y -1 + y = 35

5y + y -1 = 35

Add 1 to both sides

6y - 1 + 1 = 35 + 1

6y = 36

Divide both sides by 6

6y/6= 36/6

y = 6

Now substitute y as 6 in any of the equations to get x.

Using equation one ,

We have

x + y = 35

x +6 = 35

Subtract 6 from both sides

x + 6 - 6 = 35 - 6

x = 29

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