Find the value of n??

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1 Answer
May 16, 2018

#n=5#

Explanation:

#"using the "color(blue)"Intersecting chords theorem"#

#"When 2 chords intersect inside a circle, the product of"#
#"their segments are equal"#

#rArr18(n+1)=9(n+7)#

#"divide both sides by 9"#

#rArr2(n+1)=n+7#

#rArr2n+2=n+7#

#"subtract "n" from both sides"#

#2n-n+2=7#

#rArrn+2=7#

#"subtract 2 from both sides"#

#rArrn=7-2=5#