36
2006-12-01 10:10:24
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answer #1
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answered by Leo F 3
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Since the largest angle is 3x and the other two are x you can set up an algebraic equation. The measure of all the angles in a triangle is 180 so....
3x + x + x =180
This simplifys to 5x=180.
The next step is to solve for x. To do this, you would divide both sides by 5 and find that x=36.
x (which is equal to 36) is the measure of the other two angles.
Since the largest angle is 3x and x=36 you can now substitute 36 in for x. Your new problem would be 3(36). So 3 multiplied by 36 is 108.
The measure of the largest angle is 108.
2006-12-01 10:30:04
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answer #2
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answered by <3 1
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Tell your teacher to give better tips next time... You cannot depend on this place to get your homework done.
buddy, 3x+ x + x = 180
3x + 2x=180
x(5) = 180
x = 36
answer is 36 for x. If you want to find the measure of the largest angle, plug x in for the top angle(3x). So, it's 3 times 36 = 108. Largest angle = 108 degree
2006-12-01 10:12:11
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answer #3
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answered by Anonymous
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What do you know about the three angles of a triangle? They add to 180 degrees.
So x + x + 3x = 180
5x = 180
x = 180/5 = 36.
So is the answer 36? No, because the largest angle is 3x, which is 3*36 = 108.
2006-12-01 10:11:13
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answer #4
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answered by stephen m 4
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Heres what you do:
There are a total of 180 degrees in a triangle, so...
3x+x+x = 180
combine like terms:
5x = 180
divide by 5
x = 36
however, this isn't the largest angle. It is one of the smaller angles. Obviously, the largest angle would be 3x.
so...
x = 36
3x
3(36) = 108
The largest angle is 108 degrees
hope that helps! =)
2006-12-01 10:15:58
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answer #5
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answered by nanabanana 2
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its 108.
because the angles angles of a triangle equal 180. So 5x=180. So x= 36. and 3x =108
2006-12-01 10:12:15
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answer #6
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answered by Anonymous
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answer is 36.
x=36, and the largest angle is 3x or 108.
the equation, if you want to know is 3x + x+ x = 180.
2006-12-01 10:11:55
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answer #7
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answered by michalakd 5
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First of all, we're dealing with an Isoceles triangle.
An Isoceles triangle has two angles that are of the same measure.
The opposite sides to those angles are also of equal length.
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How many degrees are in a triangle?
REMEMBER: 180° are the sum of all three angles in any triangle.
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GIVEN:
<1 = (3x)°
<2 = (x)°
<3 = (x)°
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FORMULA:
<1 + <2 + <3 = 180
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SUBSTITUTING for the angle values using (parenthesis) we get:
(3x) + (x) + (x) = 180
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First, SIMPLIFY by Multiplication:
1(3x) + 1(x) + 1(x) = 180
3x + x + x = 180
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Next, SIMPLIFY by Adding. Combining only the "like terms":
3x + x + x = 180
3x + 1x + 1x = 180
5x = 180
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Finally, SOLVE for "x" by doing the "opposite" operation to BOTH sides of the equation.
Focus on the variable (the letter) - side of the equation.
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5x = 180
What opperation is being done to the variable (the letter)?
What opperation is between 5 and x?
It's a little tricky. . .
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5x = 180
If you said MULTIPLICATION, you're right!
5 is being multiplied to the "x".
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So, the opposite of MULTIPLYING is DIVIDING.
Now, DIVIDE both sides by 5, to solve for "x".
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5x = 180
(5x) / 5 = (180) / 5
Reduce.
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x = 36
So, now, all we have to do is SUBSTITUTE the value of "x" into the three angles and SIMPLIFY.
Doing this, will gove us the degree values for the three angles.
The largest angle measure is the answer!
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SUBSTITUTE 36 for the value of "x" into all three angle measures.
<1 = (3x)° â [3(36)]° â 108°
<2 = (x)° â (36)° â 36°
<3 = (x)° â (36)° â 36°
Now, choose the largest angle measure.
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ANSWER:
<1 = (3x)° â [3(36)]° â 108°
Congrats. on making to the end! â¥
2006-12-01 10:57:31
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answer #8
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answered by LovesMath 3
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x+x+3x=180°
5x=180°
x=36°
3x=108° is the largesr angle.
2006-12-01 10:18:04
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answer #9
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answered by Anonymous
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Well think about it...
the sum of the angles has to be one of those so I would just try it out several times
eg. Start by seeing what it is if x=2
3x+x+x
=3(2)+2+2
=6+2+2
=10
Its obviously way higher, so try, say, 5.
5x+x+x
=3(5)+5+5
=15+5+5
=25
Go on from there and eventually you'll have it :D
2006-12-01 10:13:35
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answer #10
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answered by Cloudyheartgurl 3
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