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.

x + 9 > \( \frac{x}{-3} \)
-3 x (x + 9) > x
(-3 x x) + (-3 x 9) > x
-3x - 27 > x
-3x - 27 - x > 0
-3x - x > 27
-4x > 27
x > \( \frac{27}{-4} \)
x > -6\(\frac{3}{4}\)

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 32° - 49° = 99°

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° - 64° - 32° = 84°

So, d° = 32° + 84° = 116°

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° - 64° = 116°

To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.

4c + x = 2c - 4x + 7
4c = 2c - 4x + 7 - x
4c - 2c = -4x + 7 - x
2c = -5x + 7
c = \( \frac{-5x + 7}{2} \)
c = \( \frac{-5x}{2} \) + \( \frac{7}{2} \)
c = -2\(\frac{1}{2}\)x + 3\(\frac{1}{2}\)

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).