Final answer:
To find the value of x, set up an equation using the perimeter of the equilateral triangle and the expression for the length of one side of the triangle. Simplify the equation and solve for x.
Step-by-step explanation:
To solve for x, we can set up an equation using the perimeter of the equilateral triangle.
The perimeter of an equilateral triangle is the sum of the lengths of its three sides.
The given expression, 1.75x-2x, represents the length of one side of the triangle. We can write the equation as:
1.75x-2x + 1.75x-2x + 1.75x-2x = 67.5 inches
Simplify the equation:
5.25x-6x = 67.5 inches
Combine like terms:
-0.75x = 67.5 inches
Divide both sides by -0.75:
x = -90 inches