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hodyreva [135]
3 years ago
7

The diagram shows a right-angled triangle.

Mathematics
1 answer:
earnstyle [38]3 years ago
7 0

Answer:

x ≈ 31.0°

Step-by-step explanation:

From the right triangle given in the picture,

By applying tangent rule,

tan(x) = \frac{\text{Opposite side}}{\text{Adjacent side}}

tan(x) = \frac{9}{15}

x = \text{tan}^{-1}(\frac{9}{15} )

x = \text{tan}^{-1}(0.6)

x = 30.96

x ≈ 31.0°

Therefore, measure of angle x is 30.0°

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Check your answer by plugging -6 in for the x in the original problem:

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So, x = -6 .
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Answer:

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