Find the length of #x#?

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2 Answers
Nov 18, 2017

#x=9# units

Explanation:

recall that tangent segments to a circle from an external point are equal in length,
#=> MR=MS=3, NS=NT=4, and PR=PT#,
#PR=PM+MR=10+3=13#,
#PT=PN+NT=x+4#,
As #PR=PT#,
#=> 13=x+4#,
#=> x=13-4=9# units

Nov 18, 2017

#x=9#

Explanation:

#3+10=x+4# then #x = 9#