connorsullivan27
connorsullivan27 connorsullivan27
  • 04-05-2021
  • Mathematics
contestada

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

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

Respuesta :

jimrgrant1 jimrgrant1
  • 04-05-2021

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

Answer Link

Otras preguntas

solve |x|<6 a. {-6, 6} b. {x|x> -6 and x< 6} c. {x|x< -6 or x< 6}
How do I solve 2/7m-1/7=3/14
if square root of n equals to 3/2 what is - square root of n
What resource became the profitable crop in Jamestown
How did the colonists force the British government to repeal the various taxation acts enacted between 1764 and 1767
What spanish vowels are in the english alphabet?
the periodic table arranges the elementsa. according to number of nuclei.b. according to atomic state.c. according to atomic number
what is the difference between a source and a mouth
In a solution at 25°C, the [H+] is 3.5 × 10−6 M. What is the [OH−]?
WRITE 4.625 AS A MIXED NUMBER IN SIMPLEST FORM