Aresort hotel offered a 30% discount for off-season rates. if the regular rate for a room with a king-size bed is $239.00 per night, what is the off-season daily rate?

Length of KM is:

 80 units

Step-by-step explanation:

since, line a is a perpendicular bisector of KM

this implies that:

∠NLM=∠NLK=90°

and KL=LM

By SAS property, ΔNLK and ΔNLm are similar

(NL side is common in both, ∠NLK=∠NLM and KL=LM)

Hence,  

Hence, Length of KM=KL+LM

                                 =6x+4+6x+4

                                =12x+8

                               =12×6+8

                             = 80 units