A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.

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 5) + (2 x 5 x 2) + (2 x 8 x 2)
sa = (80) + (20) + (32)
sa = 132

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 48 as well and sum (Inside, Outside) to equal -14. For this problem, those two numbers are -8 and -6. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² - 14y + 48
y² + (-8 - 6)y + (-8 x -6)
(y - 8)(y - 6)

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 21° - 41° = 118°

You need to find the value of a so solve the first equation in terms of x:

-3a + x = -2
x = -2 + 3a

then substitute the result (-2 - -3a) into the second equation:

2a + 1(-2 + 3a) = -2
2a + (1 x -2) + (1 x 3a) = -2
2a - 2 + 3a = -2
2a + 3a = -2 + 2
5a = 0
a = \( \frac{0}{5} \)
a =