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:
A: 
Step-by-step explanation:
In this case it can be seen that the x values are being affected by this transformation. This means that we should look for points on f and g with the same y value but different x values. However in this case it is hard to pinpoint easy coordinates to work with. This is where process of elimination can help. We know it cant be B or C because if the dilation ratio is outside the function, the y values would be affected. That leaves it to A or D. We can see that g has shrunk from the original function. Shrinking along the x-values can be notated by the reciprocal of the factor of shrinking. In this case it looks like it shrunk down to half of the originals size. If we take the reciprocal of a half we get 2. Therefore if we plug that in we get:
Answer:
The definition of Acre is a unit of land area equal to 4,840 square yards (0.405 hectare). :)
Step-by-step explanation:
Answer:
y = - 6 + 2x
Step-by-step explanation:
Given
4x - 2y = 12 ( subtract 4x from both sides )
- 2y = 12 - 4x ( divide all terms by - 2 )
y = - 6 + 2x
Answer:
4 full buckets
Step-by-step explanation:
there are 4 quarts in a gallon, but it only holds 3. 12 divided by 3 is 4.
Hope it helped!
