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.

(8a)(8ab) - (5a²)(7b)
(8 x 8)(a x a x b) - (5 x 7)(a² x b)
(64)(a¹⁺¹ x b) - (35)(a²b)
64a²b - 35a²b
29a²b

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.

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 a° = 18, the value of y° is 162.

You need to find the value of b so solve the first equation in terms of z:

b + z = 2
z = 2 - b

then substitute the result (2 - 1b) into the second equation:

4b + 5(2 - b) = 3
4b + (5 x 2) + (5 x -b) = 3
4b + 10 - 5b = 3
4b - 5b = 3 - 10
-b = -7
b = \( \frac{-7}{-1} \)
b = 7

The formula for circumference is circle diameter x π:

c = πd
c = 9π