Use the image to answer the question.
An illustration shows two quadrilaterals, one big and one small. In the small quadrilateral, one side measures 2 and its opposite side measures 5. In the big quadrilateral, the side corresponding to 2 in the small quadrilateral measures 3.6 and the side corresponding to 5 measures x.
The two quadrilaterals are similar. What is the value of x ?
(1 point)
We can set up a proportion to find the value of x.
In the small quadrilateral, the ratio of the side corresponding to 2 to the side corresponding to 5 is 2:5.
In the big quadrilateral, the ratio of the side corresponding to 3.6 to the side corresponding to x is also 2:5.
Therefore, we can write the proportion as:
2/5 = 3.6/x
To solve for x, we can cross-multiply and solve for x:
2x = 5 * 3.6
2x = 18
x = 18 / 2
x = 9
Therefore, the value of x is 9.