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31-01-2018
Mathematics

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What is the value of x in the diagram?

What is the value of x in the diagram class=

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Аноним Аноним

01-02-2018

2 lines parallel, and 2 triangles have a common angle
So the smaller Δ is similar to the bigger Δ (AA Similarity)
9:(4x-2)+9=12:(3x+2)+12
9:4x+7=12:3x+14
9(3x+14)=12(4x+7)
27x+126=48x+84
21x=42
x=2
So the answer is x=2

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