If ad/db = ae/ec, then line segment is parallel to line segment .
choices for first ? :
- ad
- de

choices for second ? :
- fg
-bc

Step-by-step explanation:

In ΔABC, we have

The Converse of the basic proportionality theorem states that if a line divides two sides of a triangle in same ratio then the line must be parallel to the third side.

Now, it is given that , this implies that line segment DE divides AB and AC in the same ratio.

Thus, by converse of basic proportionality theorem  

line segment DE= line segment BC.

Therefore, if  ,then line segment DE is parallel to line segment BC .

1) DE and 2) BC

If AD/DB = AE/EC, then line segment DE is parallel to line segment BC.

Step-by-step explanation:

Given : In triangle ABC

AD/DB = AE/EC

⇒ line segment DE dividing AB and AC in same ratio.

Therefore by converse of basic proportionality theorem

line segment DE= line segment BC

Converse of basic proportionality theorem states that if a line divides two sides of a triangle in same ratio then the line must be parallel to the third side.

Hence, If AD/DB = AE/EC, then line segment DE is parallel to line segment BC .

you should at least use a calculater

step-by-step explanation:

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.