A trapezoid is a quadrilateral with one set of parallel sides.

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

b² - 14b + 34 = -2b - 1
b² - 14b + 34 + 1 = -2b
b² - 14b + 2b + 35 = 0
b² - 12b + 35 = 0

Next, factor the quadratic equation:

b² - 12b + 35 = 0
(b - 5)(b - 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 5) or (b - 7) must equal zero:

If (b - 5) = 0, b must equal 5
If (b - 7) = 0, b must equal 7

So the solution is that b = 5 or 7

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.

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.

-a + 1 < \( \frac{a}{6} \)
6 x (-a + 1) < a
(6 x -a) + (6 x 1) < a
-6a + 6 < a
-6a + 6 - a < 0
-6a - a < -6
-7a < -6
a < \( \frac{-6}{-7} \)
a < \(\frac{6}{7}\)