Answer:
Rearrange the equations that result from use of the Pythagorean theorem.
Step-by-step explanation:
Transversal AB crossing parallel lines AD and BC makes supplementary interior same-side angles A and B. Since A = 90°, B must be 90°. The Pythagorean theorem then applies in the right triangles ABC and ABD.
We can use that theorem to write two expressions for AB^2:
BD^2 -AD^2 = AB^2 = AC^2 -BC^2
The middle expression, AB^2, isn't needed beyond this point. Adding (AD^2 -AC^2) to both sides of the equation gives the desired result:
BD^2 -AC^2 = AD^2 -BC^2
Everything is divisible by five, so pull out five
5(-k^2+4k-6)
Answer:
B) 120
Step-by-step explanation:
Answer:
Time taken by the un powered raft to cover this distance is T = 192.12 hr
Step-by-step explanation:
Let speed of boat = u 
Speed of current = v 
Let distance between A & B = 100 km
Time taken in downstream = 32 hours


u + v = 3.125 ------ (1)
Time taken in upstream = 48 hours


u - v = 2.084 ------- (2)
By solving equation (1) & (2)
u = 2.6045 
v = 0.5205 
Now the time taken by the un powered raft to cover this distance

Because un powered raft travel with the speed of the current.

T = 192.12 hr
Therefore the time taken by the un powered raft to cover this distance is
T = 192.12 hr