The formula for circumference is circle diameter x π:

c = πd
c = 1π

You need to find the value of b so solve the first equation in terms of z:

6b + z = -6
z = -6 - 6b

then substitute the result (-6 - 6b) into the second equation:

-b + 9(-6 - 6b) = 8
-b + (9 x -6) + (9 x -6b) = 8
-b - 54 - 54b = 8
-b - 54b = 8 + 54
-55b = 62
b = \( \frac{62}{-55} \)
b = -1\(\frac{7}{55}\)

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 x° = 169, the value of a° is 11.

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.

-b + 8 > -3 + 2b
-b > -3 + 2b - 8
-b - 2b > -3 - 8
-3b > -11
b > \( \frac{-11}{-3} \)
b > 3\(\frac{2}{3}\)

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 48° - 32° = 100°