Respuesta :

Answer:

x ≈ 33.0

Step-by-step explanation:

The third angle in the triangle is

180° - 70° - 76° = 180° - 146° = 34°

Using the Sine rule in the triangle

[tex]\frac{x}{sin76}[/tex] = [tex]\frac{19}{sin34}[/tex] ( cross- multiply )

x × sin34° = 19 × sin76° ( divide both sides by sin34° )

x = [tex]\frac{19sin76}{sin34}[/tex] ≈ 33.0 ( to the nearest tenth )

Answer:

x=33 (since it says to round it)

Step-by-step explanation:

This is an ASA triangle.

First, we need to find the value of the unlabeled angle, which is simple:

180°-70°-76°=34°  Lets call that angle A

Now we use the law of sines:

x/sinX = a/sinA

x/sin76° = 19/sin34°

Then:

x = (19/sin34°) × sin76°

x = 32.968

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