Perimeter of a triangle. The perimeter of the triangle
shown in the accompanying figure is 12 meters. Determine
the values of x, x + 1, and x + 2 by solving the equation
x + (x + 1) + (x + 2) = 12.
x + (x + 1) + (x + 2) = 12
3x + 3 = 12
3x = 9
x = 3
3 + 1 = 4
3 + 2 = 5
idk how to do this
12 meters but i still don't get this
To determine the values of x, x + 1, and x + 2 by solving the equation x + (x + 1) + (x + 2) = 12, follow these steps:
Step 1: Simplify the equation by combining like terms:
x + (x + 1) + (x + 2) = 12
Combine the x terms:
3x + 3 = 12
Step 2: Solve for x:
Subtract 3 from both sides of the equation:
3x + 3 - 3 = 12 - 3
3x = 9
Divide both sides of the equation by 3 to isolate x:
3x/3 = 9/3
x = 3
Step 3: Determine the values of x + 1 and x + 2:
Substitute the value of x into the expressions x + 1 and x + 2:
x + 1 = 3 + 1 = 4
x + 2 = 3 + 2 = 5
The values of x, x + 1, and x + 2 are 3, 4, and 5, respectively.