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

The discovery of gold in Transvaal contributed to the start of _____?the Anglo-Boer WarWorld War IIWorld War Ithe Peloponnesian War
next term in sequence 61, 122, 244, 488
sophia has 3 pink tulips and 3 white tulips. what fraction of sophias tulips are pink
What's an equivalent fraction for 10 15 by dividing
Predict what happens when zinc is added to water
If item costs $99.99 with 15% off and I get final price. It then asks me what percentage of savings. How do I get the percentage of savings
y varies directly as x. if x=5 when y=12 find x when y=30
SAT Help Jack can paint a house in 5 days, and Richard can paint the same house in 7 days. Working together, how long will it take them to finish the job? How d
Explain why the railroads were not built in a straight line from east to west.
My daughter needs a synonym for tired and all the word she has is problem , story and banquet