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What is the value of x?

What is the value of x?-example-1
User Snorlax
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2 Answers

6 votes
The value of X would be 16
User Mdundas
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4.0k points
2 votes

Answer: Value of x is 16

Explanation:

Triangle ABC and ADE are Similar Triangles using Angle-Angle-Angle similarity,

therefore,


(AB)/(BC)=(AD)/(DE)

AB=x

BC=8

AD=x+6

DE=11

on substituting value,


(x)/(8)=(x+6)/(11)

on cross multiplying,

11x = 8x+48,

subtracting 8x on both sides,

3x = 48,

dividing both sides by 3,

x=16

Therefore, value of x is 16

User Sukeshini
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