Answer:
(14,-3)
Step-by-step explanation:
To sum vectors, simply sum values at each position.
The sum is (4+10, -5+2) = (14,-3)
Answer:
the second answer
Step-by-step explanation: too lazy to explain
Identity property of multiplication
Corresponding angles for parallel lines r and s cut by transversal q. Corresponding angles are congruent angles.
1 and 9
2 and 10
3 and 11
4 and 12
Corresponding angles for parallel lines p and q cut by transversal s. Corresponding angles are congruent angles.
11 and 15
9 and 13
12 and 16
10 and 14
Corresponding angles for parallel lines p and q cut by transversal r. Corresponding angles are congruent angles.
1 and 5
3 and 7
2 and 6
4 and 8
Linear pair theorem. These 2 angles are equal to 180°
∠1 + ∠2 = 180
∠3 + ∠4 = 180
∠9 + ∠10 = 180
∠11 + ∠12 = 180
∠5 + ∠6 = 180
∠7 + ∠8 = 180
∠13 + ∠14 = 180
∠15 + ∠16 = 180
∠1 + ∠3 = 180
∠2 + ∠4 = 180
∠9 + ∠11 =180
∠10 + ∠12 = 180
∠5 + ∠7 = 180
∠6 + ∠8 = 180
∠13 + ∠15 = 180
∠14 + ∠16 = 180
Vertical angles theorem. Vertical angles are congruent.
1 and 4
2 and 3
9 and 12
10 and 11
5 and 8
6 and 7
13 and 16
14 and 15
So we know the tank already has 5 gallons and we need 9. This means we need 4 more gallons in order to fill up the tank.
If 1/4 gallon is being filled per minute we need to find out how many 1/4 gallons makes up 4 gallons in total.
4 of the 1/4 gallons makes up 1 whole gallon. So since we need 4 whole gallons we would need 16 of the 1/4 gallons.
This means that it will take 16 minutes for the tank to hold 9 gallons of water.
