anonymous
  • anonymous
__ BD bisects angle ABC. m angle ABC = 8x. M angle ABD = 2x+22. Find m angle DBC. Please show work
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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AriPotta
  • AriPotta
|dw:1352609221953:dw|
AriPotta
  • AriPotta
2(2x + 22) = 8x
anonymous
  • anonymous
hhow would u figure all that out mathematically can you show me how to do it

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More answers

AriPotta
  • AriPotta
you would distribute the 2 into the parentheses first
anonymous
  • anonymous
start from the top
anonymous
  • anonymous
like the beginning
AriPotta
  • AriPotta
|dw:1352609494307:dw| this angle = 8x
anonymous
  • anonymous
i need to be able to type how i got everything like a explanation
AriPotta
  • AriPotta
|dw:1352609533315:dw| line BD is an angle bisector, so both of those angles would be congruent
AriPotta
  • AriPotta
since angles ABD and DBC are adjacent angles that make up angle ABC, we can say that 2(2x + 22) = 8x
anonymous
  • anonymous
thats the answer?
AriPotta
  • AriPotta
no
AriPotta
  • AriPotta
what do you get after distributing the 2?
anonymous
  • anonymous
ummmm
AriPotta
  • AriPotta
you know about the distributive property, yes?
anonymous
  • anonymous
yes but i suck at it
AriPotta
  • AriPotta
all you do is multiply though :/
anonymous
  • anonymous
so 2 * 2x = 4x + 44 = 8x?
AriPotta
  • AriPotta
after distributing, you should get 4x + 44 = 8x, yes.
AriPotta
  • AriPotta
now what do you do?
anonymous
  • anonymous
so then its 44 / 4 = 11 x = 11?
AriPotta
  • AriPotta
you didn't show that you subtracted 4x from 8x, but yes. x = 11 :)
anonymous
  • anonymous
so whats the answer? whats DBC?
AriPotta
  • AriPotta
angle DBC = 2x + 22, so just substitute 11 for x in that equation to get your answer
anonymous
  • anonymous
oh thank you so much!!!
AriPotta
  • AriPotta
no problem :)
anonymous
  • anonymous
so DBC is 44?
AriPotta
  • AriPotta
yes

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