an idea that is based on many detailed observations

_ _ E _ _ _

a part of an organism that can be used for identification

_ _ _ _ _ _ _ R _

Theory

I don't know the second one. I was thinking genotype/genome or fingerprint, but those don't fit.

Do your homework,stupid.

To find the answer to these clues, we can use a process called deduction. Let's break it down:

Clue 1: "An idea that is based on many detailed observations."
The word has 7 letters, and we already know two of them: E and the last letter. Let's try to think of words that fit this description. Some possibilities could be "theory" or "concept." However, these words do not fit with the letters we know. Let's keep searching.

Clue 2: "A part of an organism that can be used for identification."
The word has 9 letters, and we already know one of them: R, which is the last letter. Again, let's think of words that fit this description. One possibility could be "feature." This word fits the description and ends with the letter R.

Using this information and the letters we already know, let's fill in the blanks:

For Clue 1: _ _ E _ _ _.
Using the possibilities we thought of earlier, the only word that fits this pattern is "example."

For Clue 2: _ _ _ _ _ _ _ R.
Using the possibility we thought of earlier, the word that fits this pattern is "character."

So the answers to the clues are:
Clue 1: Example
Clue 2: Character