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kompoz [17]
3 years ago
11

Write as a equation how do I do this help plz

Mathematics
1 answer:
alisha [4.7K]3 years ago
6 0

Answer:

41

Step-by-step explanation:

The two angles are vertical angles, so they are the same value.

(4x - 29) = (3x + 12)

<u>      +29            +29</u>  Moving terms around to solve the problem

 4x - 0   =  3x + 41

<u>-3x             -3x       </u>    Moving terms around to solve the problem

     x - 0 = 41

          x = 41

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Given: m&lt;FSH = (5x-8)°, m&lt;NSF=(9x-12)° and m&lt;NSH=(10x+20)°.
Ivan

Answer:

The answer to your question is ∠FSH = 42°; ∠NSF = 78°; ∠NSH = 120°

Step-by-step explanation:

Data

∠ FSH = 5x - 8

∠NSF = 9x - 12

∠NSH = 10x + 20

Process

1.- Write a equation to solve this problem

          ∠NSH = ∠NSF + ∠FSH

2.- Substitute values

         10x + 20 = 9x - 12 + 5x - 8

3.- Solve for x

         10 x - 9x - 5x = - 12 - 8 - 20

         10x - 14x = - 12 - 28

                 - 4x = - 40

                     x = -40 / -4

                    x = 10

4.- Find the measure of all three angles

    ∠FSH = 5(10) - 8

               = 50 - 8

               = 42°

    ∠NSF = 9x - 12

               = 9(10) - 12

               = 90 - 12

               = 78°

∠NSH = 10(10) + 20

          = 100 + 20

          = 120°

5.- Check the answers

              120°   = 78°  + 42°

              120° = 120°

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