katienjoejonas katienjoejonas
  • 08-03-2016
  • Mathematics
contestada

Ray LC is an angle bisector of JLY, JLC=(6x+1), and JLY=(10x+16).
What is JLC?

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apologiabiology
apologiabiology apologiabiology
  • 08-03-2016
bisector divides the angle into 2 equal parts
since it a bisector
JLC=1/2 of JLY
solve for x then add them and solve for JLY
JLC=1/2 times JLY

JLC=6x+1
JLY=10x+16

subsitute
6x+1=1/2(10x+16)
distribute
1/2(10x+16)=5x+8

6x+1=5x+8
subtrac 5x from both sides
x+1=8
subtract 1
x=7

JLC=6x+1
subsitute
x=7
JLC=6(7)+1
JLC=42+1
JLC=43

answer is JLC is 43 degrees



diagram included to show what bisector is
Ver imagen apologiabiology
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