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)(4ab) - (4a²)(9b)
(8 x 4)(a x a x b) - (4 x 9)(a² x b)
(32)(a¹⁺¹ x b) - (36)(a²b)
32a²b - 36a²b
-4a²b

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.

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.

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

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 y° = 157, the value of a° is 23.