You need to find the value of c so solve the first equation in terms of y:

6c + y = 7
y = 7 - 6c

then substitute the result (7 - 6c) into the second equation:

-3c - 4(7 - 6c) = -8
-3c + (-4 x 7) + (-4 x -6c) = -8
-3c - 28 + 24c = -8
-3c + 24c = -8 + 28
21c = 20
c = \( \frac{20}{21} \)
c = \(\frac{20}{21}\)

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 y° = 148, the value of b° is 148.

The volume of a cylinder is πr²h:

v = πr²h
v = π(6² x 4)
v = 144π

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.

The volume of a cube is height x length x width:

v = h x l x w
v = 9 x 6 x 2
v = 108