If the figure is a regular polygon find the value of x

Mathematics

1 answer:

Darya [45]2 years ago

8 0

Answer:

x = 21

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 12 , then

sum = 180° × 10 = 1800°

Each of the 12 interior angles = 1800° ÷ 12 = 150

Then

7x + 3 = 150 ( subtract 3 from both sides )

7x = 147 ( divide both sides by 7 )

x = 21

You might be interested in

What is the point-slope form of a line with slope 6 that contains the same point (1,2)

garri49 [273]

Step 1: Create an equation with a slope of 6
y=6x+b

Step 2: Substitute x and y by with the point (1,2) and solve the equation for b
y=6x+b
2=6(1)
2=6
2=6+b
b=-4

Step 3: Substitute -4 for b in the equation
y=6x+b
y=6x+(-4)
y=6x-4

The equation that has a slope of 6 and passes through the point (1,2) in point-slope form:
y=6x-4

3 0

3 years ago

What is the slope of line LM given L(9, -2) and M(3, -5)?

jasenka [17]

Answer:

1/2

Step-by-step explanation:

(y2-y1)/(x2-x1) is the equation for finding slope with two given points

-5-(-2) over 3-9 equals

-3/-6=-1/-2=1/2

7 0

3 years ago

PLEASE HELP!!!!

Allushta [10]

Intersection (repeated element in the set)

A={-9,0,5}
B={0,2,5,8}
C={-9,2,5}

Ans: C, {5}

*In set B and C, element 2 was repeated but not for set A.

6 0

3 years ago

Read 2 more answers

If you pass a road test, you will get your drivers license. Tamara passed her road test

nadya68 [22]

Answer:

this isn't a specific question you need to be more specific

Step-by-step explanation:

4 0

3 years ago

What is the domain of the function?<br> x + 3<br> f(x) =<br> VX + 3

ahrayia [7]