Question

Please help! I will award Brainliest!

Answer 1

Answer:

The answer to your question is x = 1.85; y° = 67.6°

Step-by-step explanation:

Law of cosines

           c² = a² + b² - 2abcos C

Process

1.- Find x

             x² = 5² + 4² - 2(5)(4)cos 20

- Simplification

             x² = 25 + 16 - 40(0.939)

             x² = 41 - 37.56

             x² = 3.44

             x = 1.85                      

2.- Find y°

Solve law of cosines for cos y°

             cos y = (5² - 4² - 1.85²) / -2(4)(1.85)

-Simplification

             cos y = (25 - 16 - 3.42) / -14.8

             cos y = 5.58 / -14.8

             cosy = -0.377

                  y = 112.1 °

- Solve using law of sines

               sin 20 / 1.85 = sin y / 5

               sin y = 5sin 20 / 1.85

               siny = 0.9243

                    y = 67.6°

Both angles (112.1 and 67.6°) are supplementary. But I think the right answer is 67.6°