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.

6a x 8b = (6 x 8) (a x b) = 48ab

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.

4a - 3a = 1a

To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.

-8c - 9x = -4c - 4x - 3
-8c = -4c - 4x - 3 + 9x
-8c + 4c = -4x - 3 + 9x
-4c = 5x - 3
c = \( \frac{5x - 3}{-4} \)
c = \( \frac{5x}{-4} \) + \( \frac{-3}{-4} \)
c = -1\(\frac{1}{4}\)x + \(\frac{3}{4}\)

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).

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° = 141, the value of c° is 39.