Answer:
Step-by-step explanation:
Given:
KL ║ NM,
LM = 45
m∠M = 50°
KN ⊥ NM
NL ⊥ LM
To determine: KN and KL
1. Analyzing triangle NLM, we see it is a right triangle due to NL ⊥ LM. In this context,
LM = 45
m∠M = 50°
Consequently,
It is also true that
(angles LNM and M are complementary).
2. Now considering triangle NKL, it also forms a right triangle as KN ⊥ NM. Within this triangle,
(alternate interior angles)
(angles KNL and KLN are complementary).
Thus,
and
Class B exhibits the most consistent sleep patterns since there's a smaller variance between 6.87 and 3.65 compared to the other classes.
Consequently, the equation determining the remaining number of rooms Martin has to clean after
hours can be represented as: 
, in which 
indicates the overall number of rooms. Step-by-step explanation: It is given that Martin has 4 rooms left to clean and takes 7 hours for the task. The equation in standard form for the number of rooms remaining after x hours, y, is set up as follows: The remaining rooms 
, indicates the quantity after 
hours. The cleaning rate is established as follows: Considering Martin cleans 4 rooms in 7 hours, the rate at which he cleans is given by: Hence, the equation can be expressed as
(Answer)
.
