HEEELPPP Identify the correct justification for each step, given that m∠1≅m∠2, m∠3=95°, and ∠2 and ∠JLM are supplementary.

1. ∠2 and ∠JLM are supplementary

2. m∠2+m∠JLM=180°
3. m∠1+m∠3=m∠JLM
4. m∠2+m∠1+m∠3=180°
5. m∠1≅m∠2
6. m∠2+m∠2+m∠3=180°
7. m∠3=95°
8. m∠2+m∠2+95°=180°
9. 2(m∠2)+95°=180°
10. 2(m∠2)=85°
11. m∠2=42.5°

A.
1. Given
2. Def. of Supp. ∠s
3. Add. Prop. of =
4. Subst. Prop. of =
5. Given
6. Subst. Prop. of =
7. Given
8. Subst. Prop. of =
9. Simplify
10. Subt. Prop. of =
11. Mult. Prop. of =

B.
1. Given
2. Def. of Supp. ∠s
3. ∠ Add. Post.
4. Subst. Prop. of =
5. Given
6. Subst. Prop. of =
7. Given
8. Subst. Prop. of =
9. Simplify
10. Subt. Prop. of =
11. Div. Prop. of =

C.
1. Given
2. Def. of Supp. ∠s
3. ∠ Add. Post.
4. Subst. Prop. of =
5. Given
6. Add. Prop. of =
7. Given
8.Add. Prop. of =
9. Simplify
10. Add. Prop. of =
11. Mult. Prop. of =

D.
1. Given
2. Lin. Pair Thm.
3. ∠ Add. Post.
4. Subst. Prop. of =
5. Vert. ∠s Thm.
6. Subst. Prop. of =
7. Given
8. Subst. Prop. of =
9. Simplify
10. Subt. Prop. of =
11. Div. Prop. of =

answer:

it will cost 480 dollars to refurbish the larger wood floor

step-by-step explanation:

as it's a ratio of 4 that costs 384 dollars, divide the price by the ratio

384 / 4 = 96 dollars

96 dollars per unit of the ratio

now to get the price to refurbish the larger wood floor, times the price by the units

96 * 5 = 480

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation:

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.