What is the value of x?

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What is the value of x?

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x =
HELP PLEASE

1 Answer
Jan 27, 2018

#x=5#

Explanation:

#"the line segment from A is an "color(blue)"angle bisector"#

#"using the "color(blue)"angle bisector theorem"" in"triangle ABC#

#(AC)/(AB)=(3x)/(2x-1)#

#rArr15/9=(3x)/(2x-1)#

#"cross-multiplying gives"#

#15(2x-1)=9xx3x#

#rArr30x-15=27x#

#"subtract 27x from both sides"#

#30x-27x-15=cancel(27x)cancel(-27x)#

#rArr3x-15=0#

#"add 15 to both sides"#

#rArr3x=15#

#"divide both sides by 3"#

#(cancel(3) x)/cancel(3)=15/3#

#rArrx=5#