Convert 8.132132132... to a rational expression in the form of a fraction

Let x = 8.132132132... .

Then 1000x = 8132.132132132... .

Subtracting x from 1000x eliminates the fractional part, leaving you

999x = 8132 - 8 = 8124

Then

x = 8124/999 = 2708/333

(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