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ELEN [110]
3 years ago
12

Please help my dudes

Mathematics
1 answer:
Illusion [34]3 years ago
3 0

Angle-angle-side congruence

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Please help <br><br> Thank you
san4es73 [151]

Answer:

m ∠JPN = 131°    

Step-by-step explanation:

m ∠JPL = m ∠MPK                         Vertical angles are =

7x + 19 = 11x -17                               Substitution  

- 4x =  -36                                      Algebra: Solving for x

   x = 9                                           Algebra: Solving for x

 m ∠JPL = 82°                              Substitution x = 9 into m ∠JPL = 7x +19

m ∠JPL + m ∠LPK = 180°             Definition of linear pair/supplement

                                                     angles = 180°

82° + m ∠LPK = 180°                      Substitution    

            m ∠LPK = 98°                     Algebra

m ∠LPK = m ∠LPN + m ∠NPK        Angle addition Theorem

       PN bisects ∠LPK                     Given    

m ∠LPN = m ∠NPK                          Definition of angle bisector

98 ° = 2 ( m ∠LPN)                           Substitution  

    m ∠LPN = 49°                             Algebra

m ∠JPN = m ∠JPL + m ∠LPN         Angle Addition

 m ∠JPN = 82° + 49°                     Substitution  

m ∠JPN = 131°                                 Addition    

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mario62 [17]

Answer:yes 5,5

Step-by-step explanation:

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Maru [420]

The answer is 2.9. You would round up since there is a 5

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Marta_Voda [28]

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Step-by-step explanation:

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