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IgorC [24]
2 years ago
11

5n + 2n + 6 = 4n - 21

Mathematics
2 answers:
sergiy2304 [10]2 years ago
8 0

5n+2n+6=4n-21 group like terms on left side

7n+6=4n-21subtract 6 from both sides

7n=4n-27 subtract 4n from both sides

3n=27 divide both sides by 3

n=9

Airida [17]2 years ago
7 0
Combine like terms
7n + 6 = 4n - 21
3n = -27
Divide by 3
n = -27/3 (u can simplify)
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zhannawk [14.2K]
  • Given ⇔  1. ∠PRS and ∠VUW are supplementary
  • Angles forming a linear pair sum of 180°  ⇔ 3. ∠PRS + ∠SRU = 180°
  • Definition of Supplementary angle   ⇔ 2. ∠PRS + ∠VUW = 180°
  • Transitive property of equality  ⇔ 4 . ∠PRS + ∠VUW  = ∠PRS + ∠SRU
  • Algebra  ⇔ 5. ∠VUW =  ∠SRU
  • Converse of Corresponding angle Postulate ⇔ Line TV || Line QS

<u>Step-by-step explanation:</u>

Here we have , ∠PRS and ∠VUW are supplementary . We need to complete the proof of TV || QS , with matching the reasons with statements .Let's do this :

  • Given ⇔  1. ∠PRS and ∠VUW are supplementary
  • Angles forming a linear pair sum of 180°  ⇔ 3. ∠PRS + ∠SRU = 180°
  • Definition of Supplementary angle   ⇔ 2. ∠PRS + ∠VUW = 180°
  • Transitive property of equality  ⇔ 4 . ∠PRS + ∠VUW  = ∠PRS + ∠SRU
  • Algebra  ⇔ 5. ∠VUW =  ∠SRU
  • Converse of Corresponding angle Postulate ⇔ Line TV || Line QS

Above mentioned are  , are the statements matched with expressions on right hand side (RHS)  .

  • The Corresponding Angles Postulate states that, when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent .
  • The converse states: If corresponding angles are congruent, then the lines cut by the transversal are parallel.
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3 years ago
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