The nth term is 6n^2-11n+16
Answer: DA:FA=KE:EF, DF:DA=KF:KE and FA:DA=EF:KE are correct.
Explanation: Since, 
and 
are similar triangles.
Because, 
and 
(because EA and KD are parallels. And, 
is common angle for these triangles.
Therefore, according to the property of similar triangles.
FE:EK= FA:AD, FE:FK=FA:FD and DF:DA=KF:KE .
Thus, first, second and third options are correct.
1. You have the following information given in the problem above:
- Ella mixed<span> two kinds of candy the price of which was $2 and $4 per pound.
- Ella got a 10-lb mix of candy, which cost $2.90 per pound.
</span>
2. Therefore, let's call:
x: pounds of the first kind of candy.
y: pounds of the second kind of candy.
3. Then, you have:
2x+4(10-x)=(2.90)(10)
4. When you clear x, you obtain:
2x+40-4x=29
-2x=29-40
x=-11/-2
x=5.5 pounds
x+y=10
y=10-x
y=10-5.5
y=4.5 pounds
