Question

I need help with this please i don’t understand

Answer 1

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
`99 = 12x+3` (the equation for side RS). subtracting 3 from both sides results in
`96 = 12x`, 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!