Respuesta :

Answer:

X = 11

Step-by-step explanation:

Hi there,

Since △QRS is similar to △TUV, you could say that they are proportional. Therefore, (QR and TU) and (RS and UV) are the same sides but with different sizes.

The lengths of △QRS are 1.5 times greater than that of △TUV. We can make the following equation:

[tex]\frac{24}{1.5}[/tex] = x+5

When we solve for x, we find that it is 11.

Hope this was useful. Good luck.