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 w° = 18, the value of z° is 18.

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

y² + 10y + 59 = -5y + 5
y² + 10y + 59 - 5 = -5y
y² + 10y + 5y + 54 = 0
y² + 15y + 54 = 0

Next, factor the quadratic equation:

y² + 15y + 54 = 0
(y + 6)(y + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 6) or (y + 9) must equal zero:

If (y + 6) = 0, y must equal -6
If (y + 9) = 0, y must equal -9

So the solution is that y = -6 or -9

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 4)
c = 8π

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, 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.

-4b - 1 > 1 + 5b
-4b > 1 + 5b + 1
-4b - 5b > 1 + 1
-9b > 2
b > \( \frac{2}{-9} \)
b > -\(\frac{2}{9}\)