Complete question is attached.
Answer:
B) 8
Step-by-step explanation:
In this question, KLMN ~ PQRS. This means they are similar shapes.
From the image, we could denote that:
KL ~ PQ
LM ~ QR
Given that:
KL = 12
PQ = 30
QR = 20
LM = x
To find x, let's use tge expression:
[tex] \frac{KL}{PQ} = \frac{LM}{QR} [/tex]
[tex] = \frac{12}{30} = \frac{x}{20} [/tex]
Cross multiplying, we have:
12 * 20 = 30x
240 = 30x
To find x, let's divide both sides by 30.
[tex] \frac{240}{30} = \frac{30x}{30} [/tex]
8 = x
x = 8
The correct option is option B.
