The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 8 x 9
a = 72

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 equal sign and the answer on the other.

4z - 1 = \( \frac{z}{8} \)
8 x (4z - 1) = z
(8 x 4z) + (8 x -1) = z
32z - 8 = z
32z - 8 - z = 0
32z - z = 8
31z = 8
z = \( \frac{8}{31} \)
z = \(\frac{8}{31}\)

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° = 32, the value of y° is 148.

The surface area of a cylinder is 2πr² + 2πrh:

sa = 2πr² + 2πrh
sa = 2π(8²) + 2π(8 x 1)
sa = 2π(64) + 2π(8)
sa = (2 x 64)π + (2 x 8)π
sa = 128π + 16π
sa = 144π

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.

c - 8 > -6 - 9c
c > -6 - 9c + 8
c + 9c > -6 + 8
10c > 2
c > \( \frac{2}{10} \)
c > \(\frac{1}{5}\)