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Karo-lina-s [1.5K]
3 years ago
6

Using law of cosines, what is angle X to the nearest degree

Mathematics
2 answers:
Sliva [168]3 years ago
6 0

Answer:79 degrees

Step-by-step explanation:

Jus took the test hope this helps

Monica [59]3 years ago
3 0

Answer:

X=68\°

Step-by-step explanation:

we know that

Applying the law of cosines to the triangle of the figure

yz^2=xy^2+xz^2-2(xy)(xz)cos(X)

substitute the given values

9^2=8^2+8^2-2(8)(8)cos(X)

Solve for X

81=64+64-128cos(X)

81=128-128cos(X)

128cos(X)=128-81

128cos(X)=47

cos(X)=\frac{47}{128}

using a calculator

X=cos^{-1}(\frac{47}{128})

X=68\°

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