What is the sum of the interior angles of the polygon shown?

Mathematics

1 answer:

Virty [35]3 years ago

3 0

The sum of the interior angles of the polygon shown is 540 degrees

Solution:

The sum of the measures of the interior angles of a polygon with n sides is:

$Sum = (n -2) \times 180$

From given figure in question,

Number of sides in polygon = 5 ( which is a pentagon )

Therefore,

n = 5

Thus the sum of measures of interior angles is:

$Sum = (5-2) \times 180\\\\Sum = 3 \times 180\\\\Sum = 540$

Thus the sum of the interior angles of the polygon shown is 540 degrees

You might be interested in

why is sin(90 degrees) = 1. I know that that is the answer you get when you plug it into a calculator. I need an explanation as

sveta [45]

Answer:

Sin 90 = 1/1 = 1

Use trigonometry formula and a triangle with lengths of 1

5 0

3 years ago

Find the missing length. Round to the nearest tenth, If necessary.

ziro4ka [17]

Using the formula a² + b² = c² but reversing it to c² - b² = x² where x replaces the a for comprehension reasons

so this is the formula
c² - b² = x²

insert the numbers on the triangle in the picture
21² - 8² = 377

since 377 is squared and not the side length, we need to square root it to find x
√377 = 19.4~

Answer: x = 19.4

8 0

3 years ago

A jeweler wants to minimize business costs and has found that the average cost in dollars per necklace is given by C(x)=0.5x^2-7

Vika [28.1K]

Answer:

The maximum cost is 41 dollars per necklace.

Step-by-step explanation:

The average cost in dollars/necklace is given by :

$C(x)=0.5x^2-7x+65.5$ .....(1)