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.

6x - 6 < \( \frac{x}{5} \)
5 x (6x - 6) < x
(5 x 6x) + (5 x -6) < x
30x - 30 < x
30x - 30 - x < 0
30x - x < 30
29x < 30
x < \( \frac{30}{29} \)
x < 1\(\frac{1}{29}\)

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° - 66° - 64° = 50°

So, d° = 64° + 50° = 114°

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° - 66° = 114°

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 10cm + 10cm + 11cm = 31cm

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).