A typical shower drain can remove 480 gallons of water in 3 hours.
For the first-rate;
1,440 gallons in 3 hours
We calculate the unit rate.
By Dividing the total volume by the total time,
1440 / 3 = 480 gallons/ hours
For the second rate:
960 gallons in 120 minutes
Converting minutes to hours:
120 minutes = 2 hours
We calculate the unit rate.
By dividing the total volume by the total time,
960 / 2 = 480 gallons / hour
For the third rate:
720 gallons in 1.5 hours
We calculate the unit rate.
By dividing the total volume by the total time,
720 / 1.5 = 480 gallons / hour
Now,
480 gallons/ hour = 480 / 60 gallons/ minute = 80 gallons per minute
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Answer:
intersection is (1,5)
Step-by-step explanation:
plug one equations into the other
y=2x+3
3x+y=8
3x+2x+3=8
simplify
5x+3=8
subtract 3
5x=5
x=1
plug x into one equation
y=2+3=5
intersection is (1,5)
Answer:
Here, Exterior angles are ∠1, ∠2, ∠7 and ∠8
Interior angles are ∠3, ∠4, ∠5 and ∠6
Corresponding angles are ∠
(i) ∠1 and ∠5
(ii) ∠2 and ∠6
(iii) ∠4 and ∠8
(iv) ∠3 and ∠7
Axiom 4 If a transversal intersects two lines such that a pair of corresponding angles is equal, then the two lines are parallel to each other.
Thus, (i) ∠1 = ∠5, (ii) ∠2 = ∠6, (iii) ∠4 = ∠8 and (iv) ∠3 = ∠7
Alternate Interior Angles: (i) ∠4 and ∠6 and (ii) ∠3 and ∠5
Alternate Exterior Angles: (i) ∠1 and ∠7 and (ii) ∠2 and ∠8
If a transversal intersects two parallel lines then each pair of alternate interior and exterior angles are equal.
Alternate Interior Angles: (i) ∠4 = ∠6 and (ii) ∠3 = ∠5
Alternate Exterior Angles: (i) ∠1 = ∠7 and (ii) ∠2 = ∠8
Interior angles on the same side of the transversal line are called the consecutive interior angles or allied angles or co-interior angles. They are as follows: (i) ∠4 and ∠5, and (ii) ∠3 and ∠6
