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Sagot :
Answer:
x ≈ 17.1
Step-by-step explanation:
using the tangent ratio in the right triangle
tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )
x × tan35° = 12 ( divide both sides by tan35° )
x = [tex]\frac{12}{tan35}[/tex] ≈ 17.1 ( to the nearest tenth )
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{35 + 12 + x = 90^\circ}[/tex]
[tex]\large\text{Combine the like terms}[/tex]
[tex]\mathsf{(35 + 12) + (x) = 90^\circ}[/tex]
[tex]\mathsf{35 + 12 + x = 90^\circ}[/tex]
[tex]\large\text{Simplify it:}[/tex]
[tex]\mathsf{47 + x = 90^\circ}[/tex]
[tex]\mathsf{x + 47 = 90^\circ}[/tex]
[tex]\mathsf{x + 43 = 90}[/tex]
[tex]\large\text{Subtract 47 to both sides}[/tex]
[tex]\mathsf{x + 47 - 47 = 90 - 47}[/tex]
[tex]\large\text{Simplify it:}[/tex]
[tex]\mathsf{x = 90 - 47}[/tex]
[tex]\mathsf{x = 43}[/tex]
[tex]\huge\text{Therefore, your answer might be: \huge\boxed{\mathsf{x = 43}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
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