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° - 34° - 50° = 96°

So, d° = 50° + 96° = 146°

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° - 34° = 146°

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 8 x 7) + (2 x 7 x 5) + (2 x 8 x 5)
sa = (112) + (70) + (80)
sa = 262

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.

9b + 9y = -7b - 8y - 4
9b = -7b - 8y - 4 - 9y
9b + 7b = -8y - 4 - 9y
16b = -17y - 4
b = \( \frac{-17y - 4}{16} \)
b = \( \frac{-17y}{16} \) + \( \frac{-4}{16} \)
b = -1\(\frac{1}{16}\)y - \(\frac{1}{4}\)

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r²h and the surface area is 2(π r²) + 2π rh.

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(8 + 6)(5)
a = ½(14)(5)
a = ½(70) = \( \frac{70}{2} \)
a = 35