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

-b - 6z = -6b + 5z - 4
-b = -6b + 5z - 4 + 6z
-b + 6b = 5z - 4 + 6z
5b = 11z - 4
b = \( \frac{11z - 4}{5} \)
b = \( \frac{11z}{5} \) + \( \frac{-4}{5} \)
b = 2\(\frac{1}{5}\)z - \(\frac{4}{5}\)

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 25° - 59° = 96°

So, d° = 59° + 96° = 155°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 25° = 155°

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

sa = 2πr² + 2πrh
sa = 2π(8²) + 2π(8 x 5)
sa = 2π(64) + 2π(40)
sa = (2 x 64)π + (2 x 40)π
sa = 128π + 80π
sa = 208π

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

c² = a² + b²
c² = 4² + 6²
c² = 16 + 36
c² = 52
c = \( \sqrt{52} \)

The formula for circumference is circle diameter x π:

c = πd
c = 5π