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:
All of the following statements are true because the products, three or four numbers, remain the same regardless of how the numbers are grouped.
Answer:
m+5nx(9-p)-6-2r
Step-by-step explanation:
here you go
The answer is, A) No solution
Answer:
5 and 18
Step-by-step explanation:
The two numbers according to Bryan are x and 3x+3. According to Lori they are x and 5x-7. So we know that x+3x+3=x+5x-7. x and x cancel out. 3 and 7 add to 10. 5x-3x=2x. So 2x=10. X=5 and the other number is 18.