Complete the following proof.
given: 200 = 4m + 18 – 2m
prove: m = 91

statements
1. 200 = 4m + 18 – 2m
2. 200 = 2m + 18
3. 182 = 2m
4. 91 = m
5. m = 91

give the reason for each statement

1. given
2. ?
3. ?
4. ?
5. ?

Reasons for each statement are 2. Combining like terms

3.Subtracted 18 from both the sides

4.Divided by 2 on the both sides

5. Reflexive property

Step-by-step explanation:

Given: 200 = 4m + 18 – 2m

Statements  

1. 200 = 4m + 18 – 2m  [given]

2. 200 = 2m + 18  [combining like terms]

3. 182 = 2m   [Subtracted 18 from both the sides]

4. 91 = m  [Divided by 2 on the both sides]

5. m = 91  [by using reflexive property]

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47