Answer:

Step-by-step explanation:
First place 3 as a mixed number = 3/1 then simply divide you get 7/18
Answer:
I think its -120 but am not sure so sorry if its wrong
Answer:
4:1
Step-by-step explanation:
Answer: The sensor will read 300 liters after 5 minutes.
The sensor sensor should have read 120 liters at time -7 minutes.
Step-by-step explanation:
Given: The amount of water detected by sensor initially= 225 litres
Since, the hose fills the aquarium at a constant rate of 15 liters per minute.
Let x be the time , and y be reading of sensor then

Therefore, the sensor reads after 5 minutes (put x=5 in the equation)= 
To find the sensor read at time -7 minutes put x=-7 in the equation, we get

Hence, the sensor should have read 120 liters at time -7 minutes.
Answer:
Proof with Statement and Reason is below.
Step-by-step explanation:
Given:
In The Figure
BF ⊥ AC,CE ⊥ AB
To Prove:
Δ ACE ≅ Δ ABF
Proof:
In Δ ACE and Δ ABF
STATEMENT REASONS
1. BF ⊥ AC,CE ⊥ AB Given
2. m∠ BFA = 90°,m∠ CEA = 90° { Perpendicular Lines BF ⊥ AC,CE ⊥ AB }
3. AE = FA Given
4. m∠ A = m∠ A {Reflexive property}
5. Δ ACE ≅ Δ ABF By AAS Congruence Postulate