The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.

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).

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

x² - 4x + 3 = 0
(x - 1)(x - 3) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 1) or (x - 3) must equal zero:

If (x - 1) = 0, x must equal 1
If (x - 3) = 0, x must equal 3

So the solution is that x = 1 or 3

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 56° - 48° = 76°

You need to find the value of b so solve the first equation in terms of z:

5b + z = 1
z = 1 - 5b

then substitute the result (1 - 5b) into the second equation:

-6b - 3(1 - 5b) = -6
-6b + (-3 x 1) + (-3 x -5b) = -6
-6b - 3 + 15b = -6
-6b + 15b = -6 + 3
9b = -3
b = \( \frac{-3}{9} \)
b = -\(\frac{1}{3}\)