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

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.

a + 5z = -5a - 7z + 7
a = -5a - 7z + 7 - 5z
a + 5a = -7z + 7 - 5z
6a = -12z + 7
a = \( \frac{-12z + 7}{6} \)
a = \( \frac{-12z}{6} \) + \( \frac{7}{6} \)
a = -2z + 1\(\frac{1}{6}\)

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

c = πd
c = π(2 * r)
c = π(2 * 5)
c = 10π

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

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 b° = 141, the value of x° is 141.