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I am having trouble with this ​

I am having trouble with this ​-example-1
User Tkachuko
by
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1 Answer

5 votes

Answer:

x=16

Explanation:

If the triangles are similar then their sides are in proportion.

Set the proportions 20/(3x+8)=(x-1)/(x-1+27)

solve for x,

cross multiply

20(x+26)=(x-1)(3x+8),

distribute

20x+520= 3x² +8x-3x-8,

combine like terms

3x²-15x-528=0

solve using quadratic formula

x=16 and x= -11 reject because we cannot have negative measurements

User Rushil Paul
by
7.7k points

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