A triangle has one side that measures x, and the other two sides each measure 4 inches less than x. The perimeter is 19 inches.
What is the measure of x?
We can start by using the distributive property to add up the lengths of all three sides:
Perimeter = x + (x-4) + (x-4)
Simplifying this expression, we get:
Perimeter = 3x - 8
We know that the perimeter is 19 inches, so we can set up an equation:
3x - 8 = 19
Adding 8 to both sides, we get:
3x = 27
Dividing by 3, we find:
x = 9
Therefore, the measure of x is 9 inches.