victoriakite
victoriakite victoriakite
  • 10-03-2021
  • Mathematics
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Which pair of equations can be used to solve for x in PQR?

Which pair of equations can be used to solve for x in PQR class=

Respuesta :

jimrgrant1 jimrgrant1
  • 10-03-2021

Answer:

A

Step-by-step explanation:

sin57° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{PQ}{PR}[/tex] = [tex]\frac{x}{18}[/tex]

∠ P = 180° - (90 + 57)° ← sum of angles in triangle

∠ P = 180° - 147° = 33° , then

cos33° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{PQ}{PR}[/tex] = [tex]\frac{x}{18}[/tex]

Thus the 2 ratios used to solve for x are A

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