For parallel lines with a transversal, the following relationships apply:

• angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
• alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
• all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
• same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with b° = 144, the value of z° is 36.

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(2a)(2ab) - (6a²)(6b)
(2 x 2)(a x a x b) - (6 x 6)(a² x b)
(4)(a¹⁺¹ x b) - (36)(a²b)
4a²b - 36a²b
-32a²b

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

7a⁹ - 8a⁹ = -1a⁹

The volume of a cylinder is πr²h:

v = πr²h
v = π(2² x 1)
v = 4π