A = 2(C + 4)
B = (C + 4)
C = C
2(C + 4) + (C + 4) + C = 180
4C = 168
C = 42°
B = 46°
A = 92°
2007-09-14 11:31:10
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answer #1
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answered by Como 7
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Let angle C = x. Then:
angle B = x + 4 and angle A = 2B = 2(x + 4) = 2x +8.
the sum must be 180 so:
(2x + 8) + (x + 4) + x = 180
4x + 12 = 180
4x = 180 - 12
4x = 168
x = 42
Check:
Angle A = 2(x + 4) = 2(42 + 4) = 2(46) = 92
Angle B = x +4 = 42 + 4 = 46
Angle C = 42
42+46+92 = 180
2007-09-12 11:31:46
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answer #2
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answered by Runa 7
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We have
thus as the sum of the angles of a triangle = 180 degree,
we have A +B+C=180
substituting the values of A and B,we get
2
3
4
2007-09-12 11:34:42
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answer #3
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answered by S L 2
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sum of all angles in triangle is 180 right...
so if we have 3 angles A, B, and C lets put them all in terms of x, x will be our smallest angle which is in this case C
c = x
b = x + 4 (
a = 2(x + 4) (
now we make our equation
if a + b + c = 180 then
x + x + 4 + 2(x+4) = 180
2x + 4 + 2x + 8 = 180
4x + 12 = 180
4x = 168
x = 168/4 = 42
now we know
that means
and
42 + 46 + 92 = 180
2007-09-12 11:34:23
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answer #4
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answered by z32486 3
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Ok, first just write the conditions given by the problem; the
first says that the angle A is the double of B,so:
A=2B
the second states that B is 4 degrees bigger than C,so:
B=C+4
and for any triangle, the sum of the three angles must be 180
degrees:
A+B+C=180
so you have three equations and three unknown quantities;
this is a system of equations that doesn't suppose a challenge to anybody (if you have problems, tell me).So:
2B+B+B-4=180
4B=184
B=184/4=46
B=C+4 => C=B-4=42
A=2B=92
92+46+42=180 Ok
2007-09-12 11:43:46
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answer #5
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answered by Neno Saturado 3
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Add up the three angles 2x + x + x - 4 = 180 degrees
Simplify 4x - 4 = 180
Add 4 to both sides 4x = 184
Divide by 4 to both sides x = 46
To check add up all three angles 92 + 46 + 42 = 180
2007-09-12 11:44:24
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answer #6
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answered by Anonymous
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Solve by making equations
let angle C = x
let angle B = x + 4
let angle A = 2(x+ 4) or 2x + 8
Now add them all and set them equal to 180
x + x + 4 + 2x +8 = 180
4x + 12 = 180
4x = 168
x = 42
c = 42, b = 46 and a = 92
2007-09-12 11:37:11
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answer #7
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answered by sfroggy5 6
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Ok first if you want to solve any question you have to right out the formula. I will try my best to put these in an organized.
These are the formulas that you have:
a+b+c=180 a=2b b=c+4
Now you have to solve one variable (one of the letters) in the first formula. Since b is the come variable in all 3 formulas we will solve that one first by changing the last formalu around, shich will become c=b-4, and plugging them into the first.
(2b)+b+(b-4)=180 and now we solve
2b+b+b-4=180
4b-4=180
4b=184
b=46
Now you know what b equals so you can plug that into your 2nd and 3rd formulas.
a=2b b=c+4
a=2(46) 46=c+4
a=92 42=c
so your answers should be:
a=92 b=46 c=42
To make sure put them into the base formula to check.
a+b+c=180
92+46+42=180
Hope that helps.
2007-09-12 11:48:40
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answer #8
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answered by Fred T 1
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is this easy algebra? purely thinking through fact regardless of if it truly is: 2(6-4d)=25-9d (distribute 2 into the quantity 6-4d) 2X6 - 2X4d = 25 - 9d (2X6=12, 2X4d=8d) 12 - 8d = 25 - 9d (now isolate the variable [d]) (I added 9d to the two factors and subtracted 12 from the two factors) 12 - 8d = 25 - 9d -12 + 9d = -12 + 9d (now the 12 would be eradicated on the left component and the 9d would be eradicated on the recommendations-blowing component) -8d + 9d = 25 - 12 (you are able to clean up the left component by ability of pulling the straightforward component [d]) d(-8 + 9) = d(a million) = d Now purely clean up the recommendations-blowing component: 25 - 12 = 13 and you ought to get: d = 13 As you answer... on your 2d question: 8 ( 2f - 3 ) = 4 ( 4f - 8 ) back distribute the 8 into the left component and the 4 to the recommendations-blowing component: 8x2f - 8x3 = 4x4f - 4x8 8x2 = sixteen 8x3 = 24 4x4 = sixteen 4x8 = 32 => 16f - 24 = 16f - 32 (now subtract 16f and upload 24 to hassle factors) 16f - 24 = 16f - 32 -16f + 24 = -16f + 24 (we've eradicated each and everything from the left component => left component = 0) 0 = 16f - 16f - 32 + 24 (component out the straightforward component [f] from the 1st 2 words) 0 = f ( sixteen - sixteen) - 32 + 24 (sixteen - sixteen = 0) 0 = 0f - 32 + 24 Now in case you typed the equation suitable, there is not any would desire to proceed on account which you will get 0 = -8 and all of us understand that 0 and -8 are 2 distinctive numbers, so there is not any answer for this equation. desire this enables, Sean
2016-11-10 06:40:01
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answer #9
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answered by ? 4
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A = 2B
B = C + 4
A + B + C = 180
B = C + 4
2B + B + C = 180
B = C + 4
3B + C = 180
C = B - 4
3B + C = 180
3B + B - 4 = 180
4B - 4 = 180
4B = 184
B = 46
C = B - 4 = 46 - 4 = 42
A = 2B = 2*46 = 92
92 + 46 + 42 = 180
All conditions check
2007-09-12 11:30:58
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answer #10
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answered by Marvin 4
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