document.write( "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!!:)\r
\n" ); document.write( "\n" ); document.write( "Write a proof for each of the following
\n" ); document.write( "1. Given: 𝑚∠1 = 90°;∠1 ≅ ∠2
\n" ); document.write( "Prove: ∠2 is a right angle
\n" ); document.write( "2. Given: 3(x + 1) = 6(x - 3)
\n" ); document.write( "Prove: x = 7
\n" ); document.write( "3. Given: 𝑚∠1 = 180°;∠1 ≅ ∠2; 𝑚∠2 ≅ 𝑚∠3
\n" ); document.write( "Prove: ∠3 is a straight angle.
\n" ); document.write( "4. Given 8.5s - 81.7 = -9.23s + 148.79
\n" ); document.write( "Prove: s = 13 \n" ); document.write( "

Algebra.Com's Answer #810159 by MathLover1(20850) $\"\"$ $\"About$

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1. \r
\n" ); document.write( "\n" ); document.write( "Given: \r
\n" ); document.write( "\n" ); document.write( " $\"m\"$ < $\"1\"$ = $\"90\"$ °
\n" ); document.write( " $\"m\"$ < $\"1\"$ ≅ $\"m\"$ < $\"2\"$ \r
\n" ); document.write( "\n" ); document.write( "Prove: < $\"2\"$ is a right angle\r
\n" ); document.write( "\n" ); document.write( " $\"m\"$ < $\"1\"$ = $\"+90\"$ °
\n" ); document.write( " $\"m\"$ < $\"1\"$ ≅ $\"+m\"$ < $\"2\"$ .......................................Given
\n" ); document.write( " $\"90\"$ ° = $\"+m\"$ < $\"2\"$ ..............Transitive Property of Equality\r
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\n" ); document.write( "\n" ); document.write( "2. Given: $\"3%28x+%2B+1%29+=+6%28x+-+3%29\"$
\n" ); document.write( "Prove: $\"x+=+7\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3%28x+%2B+1%29+=+6%28x+-+3%29\"$ ................given
\n" ); document.write( " $\"3x+%2B+3=+6x+-+18\"$ ...............distributive property of multiplication
\n" ); document.write( " $\"3x-3x+%2B3%2B+18=+6x+-+3x-18%2B18\"$ ............... addition property of equality
\n" ); document.write( " $\"21=+3x\"$ ..............combine like terms
\n" ); document.write( " $\"21%2F3=+3x%2F3\"$ .............divide both sides by 3
\n" ); document.write( " $\"7=+x\"$ .........................division property of equality\r
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\n" ); document.write( "\n" ); document.write( "3.
\n" ); document.write( "Given: $\"m\"$ < $\"1+=+180\"$ °; < $\"1\"$ ≅ < $\"2\"$ ; $\"m\"$ < $\"2\"$ ≅ $\"m\"$ < $\"3\"$
\n" ); document.write( "Prove: < $\"3\"$ is a straight angle.\r
\n" ); document.write( "\n" ); document.write( " $\"m\"$ < $\"1+=+180\"$ °;..................given
\n" ); document.write( "< $\"1\"$ ≅ < $\"2\"$ ;..................given
\n" ); document.write( " $\"m\"$ < $\"2=++180\"$ °.....................................transitive property of equality
\n" ); document.write( " $\"m\"$ < $\"2\"$ ≅ $\"m\"$ < $\"3\"$ ..................given
\n" ); document.write( " $\"m\"$ < $\"3=++180\"$ °.................Transitive Property of Equality\r
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\n" ); document.write( "\n" ); document.write( "4.
\n" ); document.write( "Given $\"8.5s+-+81.7+=+-9.23s+%2B+148.79\"$
\n" ); document.write( "Prove: $\"s+=+13\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"8.5s+-+81.7+=+-9.23s+%2B+148.79\"$ ...............given
\n" ); document.write( " $\"8.5s+%2B9.23s+-+81.7+=+%2B9.23s-9.23s%2B81.7+%2B+148.79\"$ ................ addition property of equality
\n" ); document.write( " $\"17.73+s+=+230.49\"$ ...............addition property of equality
\n" ); document.write( " $\"17.73+s%2F+17.73+=+230.49%2F17.73\"$ .............division property of equality
\n" ); document.write( " $\"s=+13\"$ .............division property of equality\r
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