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Dovator [93]
3 years ago
14

Please answer this question now

Mathematics
1 answer:
Svetlanka [38]3 years ago
4 0

Answer:

y = 9.1

Step-by-step explanation:

By applying Sine rule in the given triangle WXY,

\frac{\text{SinW}}{\text{XY}}=\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinX}}{\text{WY}}

\frac{\text{SinW}}{\text{w}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{SinX}}{\text{x}}

Since m∠W + m∠X + m∠Y = 180°

m∠W + 58° + 106° = 180°

m∠W = 180° - 164°

m∠W = 16°

\frac{\text{Sin16}}{\text{w}}=\frac{\text{Sin106}}{\text{y}}=\frac{\text{Sin58}}{\text{8}}

\frac{\text{Sin106}}{\text{y}}=\frac{\text{Sin58}}{\text{8}}

y = \frac{8\times (\text{Sin106})}{\text{SIn58}}

y = 9.068

y ≈ 9.1

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Answer:

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Step-by-step explanation:

We can see that LOM is MON + LON so we can set up an equation to find the value of x then substitute that back into MON to find the value of that angle.

→ In equations its important to keep both sides equal and do operations to both sides and not one because then if you do an operation to only one side then you have changed the equation so it's important to do operations on both sides and that's an important rule to bare in mind.

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