Answer:
x = 18
Step-by-step explanation:
given Δ KLM and Δ KNO are similar, then the ratios of corresponding sides are in proportion.
NO and LM are corresponding sides
KN and KL are corresponding sides
Then
[tex]\frac{NO}{LM}[/tex] = [tex]\frac{KN}{KL}[/tex] ( substitute values )
[tex]\frac{x}{6}[/tex] = [tex]\frac{30}{10}[/tex] = 3 ( multiply both sides by 6 )
x = 6 × 3 = 18
