Question

The sides of a triangle have lengths 7.x, and x + 1. If the perimeter is 30,

find the value of x.

Answer 1

To find the value of x in the triangle with sides 7, x, and x + 1, we set up the equation 7 + x + (x + 1) = 30 and solve for x. The value of x is 11.

Step-by-step explanation:

To find the value of x, we need to set up an equation using the given information. The perimeter of a triangle is the sum of the lengths of its sides. So, we can set up the equation 7 + x + (x + 1) = 30. Solving this equation:

7 + x + x + 1 = 30

Combining like terms, we get 2x + 8 = 30

Subtracting 8 from both sides, we have 2x = 22

Dividing both sides by 2, we find x = 11. Therefore, the value of x is 11.