Solution:
The image shows two similar triangles, which means that all corresponding angles are equal and the sides are in proportion. One triangle has side lengths of 'x' and '7', and the corresponding sides of the larger triangle are '8' and '18'. We need to find the missing side length 'x' for the smaller triangle.To find 'x', we can set up a proportion using the sides of the triangles:x/7 = 8/18Now we solve for 'x':x = (7 * 8) / 18x = 56 / 18x = 3.111...Rounding to the nearest hundredth, we get:x ≈ 3.11Therefore, the missing side length 'x' is approximately 3.11.