How are polar and rectangular planes related?

Polar coordinates (r,ϑ) and Cartesian coordinates (x,y) are related as follows:

Cartesian -> Polar
x = r cos(ϑ)
y = r sin(ϑ)

Polar -> Cartesian
r^2 = x^2 + y^2
ϑ = arctan( y/x)

The polar coo's can be extended to cylindrical by introduction a dimension z - which is perpendicular to the polar plane, it follows that:

z = z 
in between the systems (r,ϑ,z) and (x,y,z)

The polar coordinates are particularly useful when a problem has circular or cylindrical symmetry, i.e. it is usually "easier" to perform calculations on a circle (for example) using the polar coordinates.

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !

(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