anonymous
  • anonymous
If m= Angle AOC=85°, m=Angle BOC = 2x + 10, and m Angle AOB = 4x – 15, find the degree measure of Angle BOCand Angle AOB. The diagram is not to scale. A. m= 30°; m= 55° B. m= 40°; m= 45° C. m= 45°; m= 40° D. m= 55°; m= 30°
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
http://assets.openstudy.com/updates/attachments/510747c5e4b069b605a25381-icewinifredd-1359431632263-geography.jpg
anonymous
  • anonymous
@ivettef365 @mathstudent55 @Wherewillweland
anonymous
  • anonymous
@missMob @Euler271 @timo86m

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anonymous
  • anonymous
Please help
anonymous
  • anonymous
@*STAR*
anonymous
  • anonymous
ok honey, so what part is it that you do not understand
anonymous
  • anonymous
The equation...
anonymous
  • anonymous
why don't you draw the angle first and put them in place first......
ivettef365
  • ivettef365
you have to put the equation as follows: 4x -15 + 2x + 10 = 85 solve for x
anonymous
  • anonymous
oops wrong one, sorry
anonymous
  • anonymous
How would I do that @*STAR* oh ok
ivettef365
  • ivettef365
can you solve for x ?
anonymous
  • anonymous
ok let me write it down.
jdoe0001
  • jdoe0001
notice that the angles BOC and AOB if added together, they would sum up to make up AOC and we know what AOC angle is
ivettef365
  • ivettef365
when you have value of x , then find angle BOC first which is 2x + 10
anonymous
  • anonymous
4x -15 + 2x + 10 = 85 -10 -10
anonymous
  • anonymous
4x -15 + 2x=75
ivettef365
  • ivettef365
first combine like terms as follows: 4x + 2x = 6x and -15 + 10 = -5 so you have 6x - 5 = 85
anonymous
  • anonymous
4x -15 + 2x=75 +15 +15
anonymous
  • anonymous
4x + 2x=90
ivettef365
  • ivettef365
now add 5 on both sides and you have 6x = 90 now divide 90/6 what do you get ?
anonymous
  • anonymous
6x=90 --- --- 6 6
anonymous
  • anonymous
x=15
ivettef365
  • ivettef365
correct, now find BOC which is 2x + 10
anonymous
  • anonymous
but theres no = sigo i cat do what i just did to that?
anonymous
  • anonymous
sign
jdoe0001
  • jdoe0001
|dw:1377630219839:dw|
ivettef365
  • ivettef365
what do you mean ??? you have x = 15 now substitute the x for 15 as follows: 2x + 10 2(15) + 10 = ???
anonymous
  • anonymous
oh... -.- *facepalm*
anonymous
  • anonymous
=40
ivettef365
  • ivettef365
and the other angle AOB is 4x - 15
anonymous
  • anonymous
2*15=30+10=40
ivettef365
  • ivettef365
correct
anonymous
  • anonymous
so the answer is 40?
anonymous
  • anonymous
for what angle though?
anonymous
  • anonymous
BOC?
anonymous
  • anonymous
4*15=60-15=45
anonymous
  • anonymous
So \[Angle BOC=40 degrees Angle AOB= 45 degrees\]
ivettef365
  • ivettef365
correct
anonymous
  • anonymous
ok can i have a medal and then ill give one to *STAR* so everyone gets a medal?
anonymous
  • anonymous
Yay its done :D
anonymous
  • anonymous
thnks bye
ivettef365
  • ivettef365
yw :)

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