Answer:



Step-by-step explanation:
Given

See attachment
Solving (a): 
To solve for
, we make use of:

The relationship between both angles is that they are complementary angles
Make
the subject

Substitute
for 


Solving (b): 
To solve for
, we make use of:
The relationship between both angles is that they are complementary angles

Solving (c): 
To solve for
, we make use of:

The relationship between both angles is that they are alternate exterior angles.
So:

First four answers are correct as congruent parts of congruent triangles are congruent but L Is not the opposite to M so they wouldn’t be congruent nor does NL or PQ have the same connection
Answer:
Independent Variable: Jazz music
Dependent Variable: Sleeping Time
Experimental Group: people sleeping with jazz music
Control Group: people sleeping without jazz music
3 constants:
No of people in group
Jazz music
Sleep
Step-by-step explanation:
The independent variable is the one which is not altered by any outer influence. For example the jazz music will not be interrupted by the sleeping habits of people.
The dependent variable is the one which is affected by external changes such as sleeping time is afffected by external music or noises.
Experimental group on which experiment is being carried out.
Control group is which determines the changes in experimental group.
Constants which do not change for the number of experiment, could be number of people, type of jazz music, volume of jazz music also sleep is a constant .
Answer:
10
Step-by-step explanation:
3[(8-2)-5]+7
3[6-5]+7
3[1]+7
3+7
10