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.

2y - 6 < \( \frac{y}{9} \)
9 x (2y - 6) < y
(9 x 2y) + (9 x -6) < y
18y - 54 < y
18y - 54 - y < 0
18y - y < 54
17y < 54
y < \( \frac{54}{17} \)
y < 3\(\frac{3}{17}\)

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s²).

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 28° - 37° = 115°

So, d° = 37° + 115° = 152°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 28° = 152°

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)(2ab) - (4a²)(6b)
(6 x 2)(a x a x b) - (4 x 6)(a² x b)
(12)(a¹⁺¹ x b) - (24)(a²b)
12a²b - 24a²b
-12a²b

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 60° - 45° = 75°