Question

In the expression 6 * 1 (2x - 6), which is the value of x that proves the figure below is a square?

A. x = 19.5
B. x = 25.5
C. x = 45
D. x = 48

Answer 1

The value of x that proves the figure is a square is x = 3.

Step-by-step explanation:

To prove that the expression 6 * 1 (2x - 6) represents a square, we need to find the value of x that satisfies the equation. Let's solve the equation step by step:

1. Distribute the 6 to the terms inside the parentheses: 6 * 1 * 2x - 6 * 1 * 6 = 12x - 36.
2. Set the expression equal to zero: 12x - 36 = 0.
3. Add 36 to both sides: 12x = 36.
4. Divide by 12: x = 3.

Therefore, the value of x that proves the figure is a square is x = 3. Option D, x = 48, is not correct.