All categories

3 years ago

Find the sum of the interior angle measures of a convex 15-gon (a fifteen-sided polygon).

Mathematics

1 answer:

vitfil [10]3 years ago

4 0

Answer:

2340 degrees.

Step-by-step explanation:

The sum of the interior angle measures of any polygon can be calculated using the following expression ( $n$ is the number of sides the polygon has):

$180(n-2)$

For a 15-sided polygon, plug in 15 for n and simplify:

$180(15-2)=180(13)$

Multiply to solve:

$180(13)=2340$

For a 15-sided polygon, the sum of the interior angles must be 2340 degrees. You can go a step further and divide 2340 by 15 to figure out the individual measure of each interior angle (156 degrees).

You might be interested in

If the length of a rectangle is 6 more than twice the width and the total perimeter is 84cm, what is the rectangle's length?

tino4ka555 [31]

Step-by-step explanation:

length = 2×width + 6

84 = 2×length + 2×width

now using the first in the second equation :

84 = 2×(2×width + 6) + 2×width = 4×width + 12 + 2×width

84 = 6×width + 12

72 = 6×width

width = 12 cm

length = 2×width + 6 = 2×12 + 6 = 24 + 6 = 30 cm

5 0

2 years ago

Write an equation of the line with the given slope that contains the given point.

Alchen [17]

Answer:

$y=-2x+12$

Step-by-step explanation:

We can use the point-slope form given by:

$y-y_1=m(x-x_1)$

Where <em>m</em> is the slope and (x₁, y₁) is a point.

So, we will substitute -2 for <em>m</em> and (5, 2) for (x₁, y₁). This gives us:

$y-(2)=-2(x-(5))$

Simplify:

$y-2=-2(x-5)$

Distribute:

$y-2=-2x+10$

Add 2 to both sides. Hence, our equation is:

$y=-2x+12$

3 0

3 years ago

A stoplight is green for 28 seconds, yellow for 5 seconds, red for 27,seconds. What is probability that the light will not be gr

rjkz [21]

Im sorry i dont understand the question.. Is there another form of the question you can give me?

6 0

3 years ago

Making Connections Read the word problem. Use the review vocabulary to describe what each number represents.

Wittaler [7]

Answer:

dividend, divisor, quotient

Step-by-step explanation:

The answers are in the same order as the vocabulary words

8 0

2 years ago

Using powers of 10, which would be the best choice for the first number to subtract in the division problem 956 ÷ 87?

dlinn [17]

Answer:

870 as it is the only number in the list which closest and lesser then 956.

(if you divide, then you get 10 as quotient and 86 as remainder)

we can also take 87 but the question mentions with multiples of 10.

Step-by-step explanation:

6 0

3 years ago