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.

-3x - 5 < -6 - 4x
-3x < -6 - 4x + 5
-3x + 4x < -6 + 5
x < -1

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 a° = 18, the value of c° is 18.

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

c² + 14c + 48 = 0
(c + 6)(c + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 6) or (c + 8) must equal zero:

If (c + 6) = 0, c must equal -6
If (c + 8) = 0, c must equal -8

So the solution is that c = -6 or -8

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = \( \sqrt{100} \)
c = 10

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°).