The first blank corresponds to the world Síganme which is the imperative form of seguir.
The second blank corresponds to the world dígame which is the imperative form of decir.
Let me also translate the text for you:
Agent: well, you already saw the garden. Now follow me/síganme I want to show the inside of the house.
Cecilia: Wow! such a beautiful hallway! there is a lot of natural light here, but tell me/dígame Mr. Orozco, there is only one entrance?
Water and oil don't mix, so after 3 minutes the water and the oil will be separated. The water will be on the bottom part of the bottle and the oil will be on the top part of the bottle.
the answer is tito y yo estamos con su tio