Final answer:
In the given trapezoid, the expression (15x + 30)(3y + 18) represents the dimensions 10x, 90. The value of x is -6.
Step-by-step explanation:
In the given trapezoid, the expression (15x + 30)(3y + 18) represents the dimensions 10x and 90. To find the value of x, we can set up an equation using the given information.
1. Start with the expression (15x + 30)(3y + 18) representing the dimensions of the trapezoid.
2. We know that the length of one of the bases of the trapezoid is 10x.
3. Setting up the equation, we can equate 10x to (15x + 30):
10x = 15x + 30
4. Simplify the equation by subtracting 15x from both sides:
10x - 15x = 15x - 15x + 30
-5x = 30
5. Divide both sides of the equation by -5 to solve for x:
x = 30 / -5
x = -6
Therefore, the value of x in the given trapezoid is -6