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attashe74 [19]
3 years ago
11

Find the measure of an exterior angle of a regular polygon with 19 sides.

Mathematics
2 answers:
Contact [7]3 years ago
5 0

Answer: 18.94\°

Step-by-step explanation:

The exterior angle of a regular polygon of n sides is given by:

\frac{360\°}{n}

In the case of a 19-side polygon n=19

Hence:

\frac{360\°}{19}=18.94\°

Elza [17]3 years ago
4 0

Answer:

The measure of the exterior angle is 18. 95 Degrees.

Step-by-step explanation:

<u>Step 1: </u>

Given data:

Let us assume ‘I’ as interior angle of Regular polygon and ‘E’ as Exterior angle of Regular Polygon.

Exterior angle for Regular polygon is 19 sides.

By the formula:

I=\frac{180(n-2)}{n} degrees. ------1.n(s) is the side of polygon.

<u>Step 2: </u>

Substitute the value of n in the given formula. Where n=19 from the given data

I=\frac{180(n-2)}{n}degrees

<u>Step 3: </u>

\begin{array}{l}{I=\frac{180(19-2)}{19} \text { degrees }} \\ {I=\frac{180(17)}{19} \text { degrees }}\end{array}

I = 3060/19

I = 161.05 degrees.

<u>Step 4: </u>

Measure of the exterior angles of a regular polygon is given by the formula:

E= 360 / n degrees. ----- n(s) side of polygon.

From the given data n are 19.

E = 360 / 19

E= 18. 95 Degrees.

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podryga [215]

Answer:

-20x+27

Step-by-step explanation:

-4(5x-3)+15 Distribute First

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-20x+27 All Done!


8 0
3 years ago
DUE ASAP PLZ HELP (brainliest if you get it right)
sammy [17]

here's the right answer!

A)  76 + 80 + 78 + x = 82 times 4

234 + x = 328

x = 94

B) Mei needs a score of at least 94 on the next exam.

hope you have a good day

4 0
3 years ago
The sum of three numbers is 86. The third number is 4 times the first. The first number is 10 more than the second. What are the
Leona [35]

Answer:

The first number is 16

The second number is 6

The third number is 64

Step-by-step explanation:

The information from the word problem are;

The count of the numbers in the sum = 3 numbers

The value of the sum of the three numbers = 86

The value of the third number = 4 × The value of the first number

The value of the first number = 10 + The value of the second

Let 'x' represent the first number, let 'y' represent the second number and let 'z' represent the third number, we have;

x + y + z = 86...(1)

z = 4 × x...(2)

x = y + 10...(3)

From equation (3), we get;

x = y + 10

∴ y = x - 10...(4)

Substituting the value of <em>z</em> from equation (2) and the value of <em>y</em> from equation (4) in equation (1) gives;

x + y + z = 86

z = 4 × x = 4·x

y = x - 10

∴ x + y + z = x + (x - 10) + 4·x = 86

x + (x - 10) + 4·x = x + x - 10 + 4·x = 6·x - 10 = 86

6·x = 86 + 10 = 96

∴ x = 96/6 = 16

x = 16

From equation (2), we get;

z = 4 × x

∴ z = 4 × 16 = 64

z = 64

From equation (4), we get

y = x - 10

∴ y = 16 - 10 = 6

y = 6

Therefore; x = 16, y = 6, and z = 64

The numbers are 16, 6, and 64

8 0
3 years ago
elie is now 4 times as old as her son. in 5 years time shes going to be 3 times as old as her son. how old is ellies son now?
tigry1 [53]

Answer:

Her son is 10 years old.

Step-by-step explanation:

Let son be x

Ellie is 4x

In 5 years time: Her son = x + 5

Ellie = 4x + 5

Given that she will then be 3 times as old as her son: 4x + 5 = 3(x + 5)

Solve x: 4x + 5 = 3(x + 5) ,4x + 5 = 3x + 15

x = 10

5 0
3 years ago
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