Respuesta :

Answer:

The answer is B.

Step-by-step explanation:

9 : 12 = 3 : 4

12 : 16 = 3 : 4

Known :

LMNOP ~ QRSTU

OP = 12

LM = 9

QR = 12

Asked :

TU = ...?

Answer :

[tex] \frac{op}{tu} = \frac{lm}{qr} \\ \frac{12}{tu} = \frac{9}{12} \\ tu = \frac{12 \times 12}{9} \\ tu = \frac{12 \times 12}{3 \times 3} \\ tu = 4 \times 4 \\ tu = 16[/tex]

So, the side of TU is 16 (B)

Hope it helpful and useful :)