The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 3 x 9 = \( \frac{27}{2} \) = 13\(\frac{1}{2}\)

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° = 150, the value of d° is 150.

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

z² - 4z - 45 = 0
(z + 5)(z - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 5) or (z - 9) must equal zero:

If (z + 5) = 0, z must equal -5
If (z - 9) = 0, z must equal 9

So the solution is that z = -5 or 9

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