Provide the missing statements and reasons for the following proof: +
n
a
Given: Line m is parallel to line n.
Prove: Z1 is supplementary to 22.
Statement
Reason
51
R1. Given
S2
R2. Corresponding Angles Postulate
S3 m2 m3
R3
R4 Definition of Linear Pain
S4 1 and 23 for a Linear Pair
S5. 21 is supplementary to 23
S6 m2 1 + m23 = 180°
R5
R6. Definition of supplementary
R7 Substitution Property of Equality
S7
S8. 21 is supplementary to 22
R8 Definition of supplementary

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

2x^2+5x+17

your welcome. : )

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm