The volume of a cube is height x length x width:

v = h x l x w
v = 7 x 6 x 9
v = 378

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 z° = 14, the value of w° is 14.

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

-2c + 5 < 4 + 6c
-2c < 4 + 6c - 5
-2c - 6c < 4 - 5
-8c < -1
c < \( \frac{-1}{-8} \)
c < \(\frac{1}{8}\)

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a² - a² = 3a² but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.

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.

(9a)(7ab) + (7a²)(4b)
(9 x 7)(a x a x b) + (7 x 4)(a² x b)
(63)(a¹⁺¹ x b) + (28)(a²b)
63a²b + 28a²b
91a²b