Answer:
Step-by-step explanation:
If KM bisects angle NKL, the angle 3 is congruent to angle 4.
We are given that angle 1 is congruent to angle 2, so that means that angle JKP is congruent to angle PKN. By the definition of an angle bisector, we know then that angle NKM is congruent to angle MKL. By the definition of a straight angle formed by opposite rays, all those angles named above add up to equal 180 degrees. So if angle JKN = 8x + 2 and angle MKL = 3x + 5 and angles NKM and MKL are congruent, then angle NKL = 2(3x + 5) which is 6x + 10. Again, if all those angles above add up to equal 180, then
8x + 2 + 6x + 10 = 180 and
14x + 12 = 180 and
14x = 168 so
x = 12.
Angle MKN = 3x + 5 so if x = 12, then
Angle MKN = 3(12) + 5 and
Angle MKN = 41 degrees
We need to find the quotient of the given division problem.

In order to find its quotient, we will use long division.
)
First of all, we put x in the quotient as
goes into
, x times.
So, we get:
)
(x

Upon subtracting, we get:

We can see that
goes into
, -2 times, therefore, the next term in the quotient will be -2. This makes our quotient as (x-2).
Answer:
<em>The amount of animal feed left was 86.4 kilograms.</em>
Step-by-step explanation:
Initial amount of animal feed in the barn was 96 kilograms.
The barn leaked and
of the feed was wasted.
So, <u>the amount of feed wasted</u>
kilograms.
<em>Now, for finding the amount of feed that was left, we need to subtract the amount of wasted feed from the initial amount of feed.</em>
So, the amount of animal feed left 