The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.

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.

5c - 4z = -9c - 7z - 3
5c = -9c - 7z - 3 + 4z
5c + 9c = -7z - 3 + 4z
14c = -3z - 3
c = \( \frac{-3z - 3}{14} \)
c = \( \frac{-3z}{14} \) + \( \frac{-3}{14} \)
c = -\(\frac{3}{14}\)z - \(\frac{3}{14}\)

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° - 39° - 32° = 109°

So, d° = 32° + 109° = 141°

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° - 39° = 141°

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.