Answer:
The angle ZLK has a value of 75 degrees.
Step-by-step explanation:
We can calculate this as:

We replace the angles values in the equation, as both angles that are formed with Z (MLZ and ZLK), when added, gives as the angle MLK. This allows us to calculate x. The value for x is -11.
Then, with the value for x we can calculate any of both angles.
1.)-3y=2* -3-9
-3y=-6-9
-3y=-15
y=5
-3*5=-15
2.)-3y=2*0-9
-3y=0-9
-3y=-9
y=3
-3*3=-9
3.)-3y=2*3-9
-3y=6-9
-3y=-3
y=1
-3*1=-3
Manipulate the first equation to
y = 22-7z
Then substitute in the second to find z
8(22-7z) + 7z = 127
176-56z+7z = 127
-49z = -49
z = 1
So y = 22-7(1) = 22-7 = 15
y = 15; z = 1
Answer:
Distance = 205 meters
Step-by-step explanation:
Distance = rate multiplied by time
We know the time = 25 seconds
and the rate = 8.2 meters per second
Distance = 8.2*25
Distance = 205 meters
k/9-1=12
We move all terms to the left:
k/9-1-(12)=0
We add all the numbers together, and all the variables
k/9-13=0
We multiply all the terms by the denominator
k-13*9=0
We add all the numbers together, and all the variables
k-117=0
We move all terms containing k to the left, all other terms to the right
k=117