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:
The distance between points A and B is 13
Step-by-step explanation:
We need to find distance between points A and B
Looking at the graph,
Point A : (2,6) and Point B: (-3,-6)
We need to find the distance between these points.
The formula used is: 
We have Points A : (2,6) and B: (-3,-6)
So, 
Putting values in formula and finding distance
So, the distance between points A and B is 13
3/5 * 230 = 138 votes for Nyemi
3/10 * 230 = 69 votes for Luke
1/10 * 230 = 23 votes for Natalie
***************** DOUBLE-CHECK ****************
138 + 69 + 23 = 230 Correct!!
Answer:
The length of the line segment AC is equal to 14
Step-by-step explanation:
The triangle above is an isosceles triangle, In an Isosceles triangle the two angles; B and C are the same, hence the two sides; AB and AC are also the same.
AB=2x and AC= 3x - 7
AB = AC
which implies;
2x = 3x - 7
subtract 3x from both-side of the equation
2x - 3x = 3x -3x -7
-x = -7
Multiply through by -1
x = 7
But we were ask to find the the length of the line segment AC
AC = 3x - 7
substituting x = 7 into the above equation will yield;
AC = 3(7) - 7 = 21 - 7 =14
Therefore the length of the line segment AC is equal to 14
