Answer: x > 7
Explanation:
To find the possible length of the second roof-support beam, we can use the triangle inequality theorem. The theorem states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.
In this case, the base of the triangle is 20 feet long, and one of the roof-support beams is 13 feet long. Let's call the length of the second roof-support beam "x."
So, according to the triangle inequality theorem:
x + 13 > 20
To find the possible length of the second roof-support beam, we need to solve for "x":
x > 20 - 13
x > 7
So, the length of the second roof-support beam (x) must be greater than 7 feet to form a valid triangle in the attic. Therefore, any measurement for the second roof-support beam that is greater than 7 feet would work.