Respuesta :

Answer:

A

Step-by-step explanation:

this is the correct answer on ed-genuity, hope this helps!

Option (1) will be the answer.

Sine rule in a triangle,

  • sine rule defines the ratio of the sine of the angles and lengths of the opposite sides of a triangle.
  • sine rule in a triangle ABC is defined by,

        [tex]\frac{\text{sinA}}{a}= \frac{\text{sinB}}{b}= \frac{\text{sinC}}{c}[/tex]

        Where [tex]a,b,c[/tex] are the opposite sides of ∠A, ∠B and ∠C.

Given in the question,

  • Two angles 75° and 40°
  • Measure of opposite sides of the angles are 25 mm and 'y' respectively.

Apply sine rule in the triangle given in the picture,

[tex]\frac{\text{sin(40)}^\circ}{y}= \frac{\text{sin(75)}^\circ}{25}[/tex]

   Therefore, expression given in option (1) will be the answer.

Learn more about the sine rule here,

https://brainly.com/question/4421194?referrer=searchResults

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