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What is the value of x?

 

 Mar 21, 2021
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Since the line that cuts through the triangle is parallel to the base, we know that 3 is proportional to x - 3 in the same way 5 is proportional to  2x-10.

 

Mathematically, we can represent this as: 

 

\({\frac {5} {2x-10}}={\frac {3} {x-3}}\)

 

Which can then be solved to get: 

\(5(x-3)=3(2x-10)\)

\(5x-15=6x-30\)

\(x = 15\)

 

Thus, x = 15.

Solved! :)

 Mar 21, 2021

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