Final answer:
The perimeter of the triangle expressed in terms of x, with given sides 3x, 2.6x - 1, and 7 - x, is P = 4.6x + 6.
Step-by-step explanation:
The question asks to express the perimeter of a triangle in terms of x given the sides of the triangle are 3x, 2.6x - 1, and 7 - x. The perimeter is the sum of all the sides of the triangle.
To find the perimeter, you simply add all the side lengths together:
• First side: 3x
• Second side: 2.6x - 1
• Third side: 7 - x
Perimeter, P = 3x + (2.6x - 1) + (7 - x)
Combine like terms:
P = 3x + 2.6x - 1 + 7 - x
P = (3x + 2.6x - x) + (7 - 1)
P = (4.6x) + 6
So, the perimeter of the triangle in terms of x is P = 4.6x + 6.