Respuesta :

Answer:

[tex]\boxed{\sf LM = 11}[/tex]

Step-by-step explanation:

According to trapezoid mid-segment theorem:

[tex]LM = \frac{QR+ST}{2}\\ Given \ that\ QR = 9, ST = 13[/tex]

[tex]\sf LM = \frac{9+13}{2}[/tex]

LM = 22/2

LM = 11