Final answer:
To find the value of x in the square LOVE with sides LV=2x+5 and x-5, we set up the equation 2x+5 = x-5 which simplifies to x=-10.
Step-by-step explanation:
The value of x in a geometric problem where a quadrilateral LOVE is given as a square. Given LV = 2x + 5, and that all sides of a square are equal, we can equate LV to another side of the square, which is given as x - 5. Therefore, the equation 2x + 5 = x - 5 needs to be solved.
Here are the steps to find x:
- First, subtract x from both sides, which gives us x + 5 = -5.
- Next, subtract 5 from both sides to solve for x, which results in x = -10.
The value of x in this geometric problem is -10.