I believe your answer is 8.
Three times a number less than twice the number and nine is seventeen can be written as: 3n - 2n + 9 = 17
Solve for n as follows:
3n - 2n = n
n + 9 = 17
17 - 9 = 8
Hope this helps! :)
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)
Answer: the speed of the elevator is 4.6 miles per hour.
Step-by-step explanation:
Given, The elevator in the Washington Monument takes 75 seconds to travel 506 feet to the top floor.
Since 1 hour = 3600 seconds
⇒ 1 second =
hour
⇒ 75 seconds =
hour
hour
1 mile = 5280 feet
1 feet =
mile
506 feet =
miles
miles
Speed = 

Hence, the speed of the elevator is 4.6 miles per hour.