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Solve for x. Round your answer to the nearest tenth.

Solve for x. Round your answer to the nearest tenth.-example-1

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Explanation:

remember the law of cosine :

c² = a² + b² - 2ab×cos(angle)

with c being the side opposite of the angle.

a and b are the other 2 sides.

so, in our case

x² = 12² + 15² - 2×12×15×cos(144) =

= 144 + 225 - 360×cos(144) =

= 369 - 360×-0.809016994... =

= 369 + 291.246118... = 660.246118...

x = 25.69525478... ≈ 25.7

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