What is the value of x?
What is the value of x?
Enter your answer in the box.
x =
HELP PLEASE
What is the value of x?
Enter your answer in the box.
x =
HELP PLEASE
1 Answer
Jan 27, 2018
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#