The volume of a cube is height x length x width:

v = h x l x w
v = 8 x 9 x 6
v = 432

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and 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°).

To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.

-3a - 3x = 7a + 8x + 5
-3a = 7a + 8x + 5 + 3x
-3a - 7a = 8x + 5 + 3x
-10a = 11x + 5
a = \( \frac{11x + 5}{-10} \)
a = \( \frac{11x}{-10} \) + \( \frac{5}{-10} \)
a = -1\(\frac{1}{10}\)x - \(\frac{1}{2}\)

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 4. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 2) and (2, 6) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = x + 4

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.