Consider two triangles AEB and CEF. In these triangles:
- ∠AEB≅∠CEF (as vertical angles);
- ∠EAB≅∠ECF (lines AB and CD are parallel and AC is transversal, then these angles are congruent as alternate interior angles);
- ∠ABE≅∠CFE (lines AB and CD are parallel, BF is transversal, then these angles congruent as alternate interior angles).
Thus, by AAA theorem, 
Corresponding sides of similar triangles are proportional, then
ABCD is a parallelogram, then AB=CD.
Therefore,
CD=2CF and CD=DF+CF. Equate these two expressions:
DF+CF=2CF,
DF=CF.
This gives you that DF:CF=1:1.
Answer: 1:1
Question is Incomplete. Complete question is given below;
Maggie brought $10 to the candy store. She will buy a certain amount of fudge. One pound of fudge costs $2.30. If p represents the amount of fudge, in pounds, Maggie buys, which expression represents the money Maggie has left after visiting the candy store?
Answer:
The expression that represent the money Maggie has left after visiting the candy store is 
Step-by-step explanation:
Given:
Money Maggie brought at store = $10
Cost of 1 pound of fudge = $2.30
Let the amount of fudge be p
We need to find the amount of Money Maggie has left with after visiting the store.
The amount of Money Maggie has left with can be calculate by subtracting the amount of fudge she bought multiplied by Cost of 1 pound of fudge with Money Maggie brought at store.
The equation can be framed as;
Money left = 
Hence, The expression that represent the money Maggie has left after visiting the candy store is
-1 is the opposite reciprical (perpendicular)
The formula to solve these is the square root of X x Y, So the problem would be 242 * 8 which = 1,936. Then you find the square root of 1,936 which = 44 . So that is your answer :) Hope it helps
If you have an item that costs 10 dollars and a sales tax of 7% you could do it this way
10 * 7/100 = 0.70 dollars.
The total cost is 10.70 dollars. or 10 dollars and 70 cents.
The best way to do the total however is to multiply the cost by 1.07. You will get the number the customer has to pay.
10 * 1.07 = 10.70
So for any price (p) it would be 1.07*p
