document.write( "Question 984025: Triangle ABC is similar to triangle XYX . Side AB measures 2 XY MEASURES 4 BC measures x+5 YZ measures 5x_2. Find x. \n" ); document.write( "

Algebra.Com's Answer #604814 by Timnewman(323) $\"\"$ $\"About$

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Hi dear,
\n" ); document.write( "The value of x is 12.
\n" ); document.write( "HERE IS THE WORKING;
\n" ); document.write( "Since triangle ABC is similar to triagle xyz.
\n" ); document.write( "Please,draw two triangles say triangle ABC and XYZ such that they will be of the same kind but different size and label side AB=2,BC=x+5,XY=4,YZ=5x-2.
\n" ); document.write( "From your diagramme,you will notice that
\n" ); document.write( "
\n" ); document.write( " $\"%28XY%2FAB%29=%28YZ%2FBC%29\"$
\n" ); document.write( "put in those value in the above formula
\n" ); document.write( " $\"2%2F4=%285%2Ax%29%2F%282%2Ax%2B5%29\"$
\n" ); document.write( "multiply out,
\n" ); document.write( "4(2x+5)=2(5x-2)
\n" ); document.write( "8x+20=10x-4
\n" ); document.write( "2x=24
\n" ); document.write( "divide both sides by 2
\n" ); document.write( "x=12.
\n" ); document.write( "IS THAT OK?
\n" ); document.write( "Best regards
\n" ); document.write( "T \n" ); document.write( "

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