When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

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 x° = 142, the value of z° is 38.

The volume of a cylinder is πr²h:

v = πr²h
v = π(6² x 2)
v = 72π

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

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 8 x 8 = \( \frac{64}{2} \) = 32