Answer:
99
Explanation:
Since the triangles are similar, we know the ratio of the sides is a constant. We know that SQ is 55, and the corresponding side on the other triangle is 10. This lets us find the ratio for the whole triangle! The ratio is 55/10, or 5.5.
To solve for RS, consider the corresponding side on the other triangle(LS) which is 18. We multiply that by the ratio to get 18 * 5.5 = 99, which is the length of RS.
I don't know if you need to solve for x, but if you do, here it is! We have
(the equation for side RS). subtracting 3 from both sides results in
, and dividing by x gives us that x = 8.
Thank you! Feel free to ask me any questions about my answer. I hope this helps!