document.write( "Question 199305This question is from textbook prentice hall mathmatics geometry _practice worksheet 12-1
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document.write( ": in each diagram, line ZY is tangent to circles O and P. Find the value of x\r
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document.write( "circle O has a radius 12
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document.write( "circle P has a radius 9
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document.write( "the distance of line ZY is 25 \n" );
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Algebra.Com's Answer #149780 by RAY100(1637) ![]() You can put this solution on YOUR website! You do not define x, but we presume it is the distance between centers of the circles. \n" ); document.write( ". \n" ); document.write( "a rough sketch helps \n" ); document.write( ". \n" ); document.write( "remember that tan to circles make perpendicular angles to radius at intersection \n" ); document.write( ". \n" ); document.write( "if we use the base as line ZY, we see that it is almost a rectangle, \n" ); document.write( ". \n" ); document.write( "if we take the rectangle out, we are left with a right triangle, sides 25 , and (12-9=3), \n" ); document.write( ". \n" ); document.write( "with hypotenuse \"x\",,,,,,we use pythagorous to solve \n" ); document.write( ". \n" ); document.write( "x^2 = 3^3 + 25^2,,,,, x= 25.18 \n" ); document.write( " |