SOLUTION: hi sorry if i ask again, i'm having a hard time to understand since we're in online class. this is my reviewer. your answer is much appreciated tysm!!:) Write a proof for each o

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: hi sorry if i ask again, i'm having a hard time to understand since we're in online class. this is my reviewer. your answer is much appreciated tysm!!:) Write a proof for each o      Log On


   



Question 1180451: hi sorry if i ask again, i'm having a hard time to understand since we're in online class. this is my reviewer. your answer is much appreciated tysm!!:)
Write a proof for each of the following
1. Given: 𝑚∠1 = 90°;∠1 ≅ ∠2
Prove: ∠2 is a right angle
2. Given: 3(x + 1) = 6(x - 3)
Prove: x = 7
3. Given: 𝑚∠1 = 180°;∠1 ≅ ∠2; 𝑚∠2 ≅ 𝑚∠3
Prove: ∠3 is a straight angle.
4. Given 8.5s - 81.7 = -9.23s + 148.79
Prove: s = 13

Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
1.
Given:
m < 1 = 90°
m < 1m < 2
Prove: < 2 is a right angle
m < 1 =+90°
m < 1+m < 2.......................................Given
90° =+m < 2..............Transitive Property of Equality


2. Given: 3%28x+%2B+1%29+=+6%28x+-+3%29
Prove: x+=+7
3%28x+%2B+1%29+=+6%28x+-+3%29................given
3x+%2B+3=+6x+-+18...............distributive property of multiplication
3x-3x+%2B3%2B+18=+6x+-+3x-18%2B18............... addition property of equality
21=+3x..............combine like terms
21%2F3=+3x%2F3.............divide both sides by 3
7=+x.........................division property of equality


3.
Given: m < 1+=+180°; < 1 ≅ <2; m<2m<3
Prove: <3 is a straight angle.
m < 1+=+180°;..................given
< 1 ≅ <2;..................given
m < 2=++180°.....................................transitive property of equality
m<2m<3..................given
m<3=++180°.................Transitive Property of Equality


4.
Given 8.5s+-+81.7+=+-9.23s+%2B+148.79
Prove: s+=+13
8.5s+-+81.7+=+-9.23s+%2B+148.79...............given
8.5s+%2B9.23s+-+81.7+=+%2B9.23s-9.23s%2B81.7+%2B+148.79................ addition property of equality
17.73+s+=+230.49...............addition property of equality
17.73+s%2F+17.73+=+230.49%2F17.73 .............division property of equality
s=+13.............division property of equality


Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

Hello,  as I see from your post,  your knowledge on solving simplest linear equations is at the zero level.


To learn this subject from scratch,  read the lesson
    - HOW TO solve a linear equation
in this site.

Consider this lesson as your textbook,  handbook,  tutorials and  (free of charge)  home teacher.

Happy learning  (!)