Can someone answer me this question?
2 answers:
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Suppose the English could drill the Channel in 6.2 years, then they drill with speed km per year, where L is the length of the English Channel. If the French could drill in 5.8 years, then their speed of drillling is
km per year.
Together their speed will be
.
If they drill together, they will spend
years.
Answer: it would have taken nearly 3 years.
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,