Answer:
3,406.5 litres/hr
Step-by-step explanation:
The liquid is being poured at a rate of 15 gallons per minute.
1 minute = 1/60 hour
Thus, the rate can be written as:
15 gallons pet 1/60 hour
We are told that one gallon is approximately 3.785 liters.
Thus;
15 gallons = 15 × 3.785 litres = 56.775 litres.
Thus, the rate is;
56.775 litres per 1/60 hour
We want to find in litres/hr.
By proportion, we have it as;
(56.775 ÷ 1/60)/1 = 56.775 × 60 = 3,406.5 litres/hr
Answer:
x + 3y = 5
5x - 3y = 7
Add up both equations, then:
6x = 12
=> x = 2
=> y = (5 - 2)/3 = 1
Answer:
2 21 degree angles
Step-by-step explanation:
An isosoles triangle has two congruent angles and every triangle's sum of interior angles equals 180 degrees. 138*2>180, so the 138 degree angle cannot be congruent to any of the other angles. Therefore:
180=138+2x
42=2x
21 degrees=x
If P is the circumcenter of ABC then
PA = PB = PC
6x - 28 = 38
6x = 66
x = 11
answer
x = 11
m<D = 90 degrees
Answer:
x = 5
Step-by-step explanation:
<u>__________________________________________________________</u>
<u>FACTS TO KNOW BEFORE SOLVING</u> :-
- In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. :
⇒
[∵ Bases are equal on both the sides]
<u>__________________________________________________________</u>

Lets express it in terms of 2.




Here the bases on both the sides are equal. Hence ,


