leylati leylati
  • 21-07-2020
  • Mathematics
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solve this pls asap ...

solve this pls asap class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 23-07-2020

Answer:

  D.  m∠C = 34, b = 25, c = 16

Step-by-step explanation:

If all you want is an answer, your friendly triangle solver can provide it. (See below)

__

When you have two angles and a side length, the law of sines can be helpful.

  b/sin(B) = a/sin(A)

  b = sin(B)/sin(A)·a = sin(119°)/sin(27°)·13 ≈ 25.04 ≈ 25

Similarly, you have C = 180° -27° -119° = 34°, so ...

  c = sin(C)/sin(A)·a = sin(34°)/sin(27°)·13 ≈ 16.02 ≈ 16

These values match answer choice D.

  m∠C = 34, b = 25, c = 16

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