The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 55° - 25° = 100°

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

a² - 10a + 24 = 0
(a - 4)(a - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 4) or (a - 6) must equal zero:

If (a - 4) = 0, a must equal 4
If (a - 6) = 0, a must equal 6

So the solution is that a = 4 or 6

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)² : a = π r².

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.

8c + 1 > \( \frac{c}{1} \)
1 x (8c + 1) > c
(1 x 8c) + (1 x 1) > c
8c + 1 > c
8c + 1 - c > 0
8c - c > -1
7c > -1
c > \( \frac{-1}{7} \)
c > -\(\frac{1}{7}\)

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

6b(b - x)
6(6)(6 + 1)
6(6)(7)
(36)(7)
252