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salantis [7]
3 years ago
5

Triangle X Y Z is shown. Angle X Y Z is 51 degrees and angle Y Z X is 76 degrees. The length of X Z is 2.6, the length of X Y is

z, and Y Z is x. Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction What is the value of z, rounded to the nearest tenth? Use the law of sines to find the answer. 2.7 units 3.2 units 4.5 units 5.3 units
Mathematics
2 answers:
stepan [7]3 years ago
5 0

Answer:

z=3.2\ units

Step-by-step explanation:

we know that

In the triangle XYZ

Applying the law of sines

\frac{2.6}{sin(51^o)}=\frac{z}{sin(76^o)}

solve for z

z=\frac{2.6}{sin(51^o)}sin(76^o)

z=3.2\ units

Shalnov [3]3 years ago
5 0

Answer:

A. StartFraction sine (51 degrees) Over 2.6 EndFraction = StartFraction sine (76 degrees) Over z EndFraction

Step-by-step explanation:

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