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,
Ryan is correct, the mean is about 8.1.
To find the mean, you have to add up all the values, then divide by the total amount.
For Sample A:
60 x 6 + 90 x 7 + 145 x 8 + 150 x 9 + 55 x 10 = 4050
If you add up all the adults, you have 500.
Dividing 4050 by 500 = 8.1
Sample B will produce a very similar result.
Answer:
The correct answer is 54 miles per hour
Step-by-step explanation:
To solve this problem we have to use the formula of
Speed=Distance/time
Both, car an truck made the same distance, so
Distance car=Speed car*time car
Distance truck =Speed truck*time truck
Distance car=Distance truck
So Speed car*time car =Speed truck*time truck
Speed car =Speed truck* time truck /time car
Time truck = time car +2 ( truck leaves 2 hours before)
Time car =10
Speed car =45 miles per hour* 12 /10
Speed car = 54 miles per hour
Answer:
≈ 56°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin ? = 
= 
, then
? = 
( ) ≈ 56° ( to the nearest degree )
