SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Define systemmatic sampling
Systematic sampling is a type of probability sampling method in which sample members from a larger population are selected according to a random starting point but with a fixed, periodic interval. This interval, called the sampling interval, is calculated by dividing the population size by the desired sample size
STEP 2: Determine the answer
The option that follows the systematic sample of workers is the last option because it follows a fixed, periodic interval of "every 4th worker until 80 workers are selected".
Hence, the answer is:
The consultant takes a list of the workers and selects every 4th worker until 80 workers are selected.
Number 16 is i believe 54units
Given: We have the given figure through which we can see
LK=16,
KJ=10,
LM=24,
MN=15
To Find: Whether KM || JN and the reasoning behind it.
Solution: Yes, KM || JN because 
Explanation:
For this solution, we use the concept of Similar Triangles.
Now, KM || JN if ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).
Now, ∠MLK=∠NLJ
To prove similarity of the two triangles, we have to show that the sides are proportional. In other words, LK:KJ = LM:LN
which is true as both sides simplify to 
Thus, we see that ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).
Therefore, KM || JN.
To come to the reasoning, notice that
In other words,
Answer:
100 degrees
Step-by-step explanation:
They have to add up to 180 because they're on a straight line together.
180 - 80 = 100 degrees
There are 14 thirds in 4 2/3
