Question 4 of 20 Sarah is creating a corral for her horses out of fencing. She is unable to make it a circle, but she wants to get close, so she chooses a
dodecagon. In order to buy the exact amount of fencing to build the corral,
Asse
Sarah assumes that an interior angle of a regular dodecagon is (8x - 2). then the value of x is
19
21.5
10

Likewise, Sarah assumes that value of an exterior angle of the same dodecagon is (5y + 7)". then the value of y is
7.4
4.6
6.4

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x