The answer is 2.84 so the best estimate is 3.00<span />
We are given this
write it as the difference of cubes
use the formula for the difference of cubes
Now use the formula for the difference of squares as 
Answer:
∠ H = ∠ J = ∠N = ∠ M
Step-by-step explanation:
Triangle MNP is similar to triangle HJK and both triangles are isosceles triangles.
If the angle P is greater than 90 degrees, then angles M and N are the equal angles of the isosceles triangle MNP.
Hence, angle M = angle N
Now, as Δ MNP and Δ HJK are similar so, ∠ M = ∠ H, ∠ N = ∠ J, and ∠ P = ∠K
Again ∠ H = ∠ J as Δ HJK is isosceles.
Therefore, ∠ H = ∠ J = ∠N = ∠ M (Answer)
Two congruent parts mean the two parts you have are the same or they are equal to eachother.
Answer: the rate of the passenger train is 100 mph.
Step-by-step explanation:
Let x represent the rate of the passenger train.
The rate of the freight train was 10 miles per hour slower than the rate of the passenger train. It means that the rate of the freight train is (x - 10) mph
The passenger train traveled 100 miles. It means that the time it took travel 100 miles is
100/x
In the same amount of time, it took a freight train to travel 90 miles. It means that the time it took travel 90 miles is
90/(x - 10)
Since the time is the same, then
100/x = 90/(x - 10)
Cross multiplying, it becomes
100(x - 10) = 90x
100x - 1000 = 90x
100x - 90x = 1000
10x = 1000
x = 100 mph
