Mathematics
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OpenStudy (anonymous):
@Directrix
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OpenStudy (anonymous):
10
Directrix (directrix):
The sum of the angle measures of a triangle is 180.
m<A + m<B + m<C = 180
Substituting,
4x + 3x + 1 + 7x +11 = 180
Solve this ^^ for x.
Directrix (directrix):
What is 4x + 3x + 7x = ?
Directrix (directrix):
@DeeBush96 ^^^
OpenStudy (anonymous):
14x + 12=180
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OpenStudy (anonymous):
@Directrix what i do with the 12
Directrix (directrix):
14x + 12=180
-12 -12 ---->Subtract 12 from both sides
-----------------
Directrix (directrix):
14 x = ?
x = ?
OpenStudy (anonymous):
14
OpenStudy (anonymous):
12 i meant
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Directrix (directrix):
Okay
Directrix (directrix):
x = 12
Now, we have to get the actual measures of the angles of the triangle.
4x = 4*12 = ?
3x + 1 = 3*12 + 1 = ?
7x +11 = 7*12 + 11 = ?
OpenStudy (anonymous):
95
Directrix (directrix):
There are three angles. 95 is the last one. You have two others to do. Look back.
OpenStudy (anonymous):
what letter is 95
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OpenStudy (anonymous):
@dir
Directrix (directrix):
m<C= 7x +11 = 7*12 + 11 = 95 --> That is the one you have done so far.
Directrix (directrix):
m<A= 4x = 4*12 = ?
Directrix (directrix):
It is too early to choose options. We have another theorem to apply after you get these angle measures cranked out.
Directrix (directrix):
4 times 12 equals ?
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OpenStudy (anonymous):
88
Directrix (directrix):
Try again.
OpenStudy (anonymous):
48
OpenStudy (anonymous):
sorry i typed it wrong lol
Directrix (directrix):
Now, for angle B
3x + 1 = 3*12 + 1 = ?
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OpenStudy (anonymous):
37
Directrix (directrix):
Here are the angles on the triangle.
Coming next is the theorem we need.
Directrix (directrix):
The smallest side of the triangle is the side opposite the smallest angle.
37 is the smallest angle (<B).
Which side is opposite <B ?----> @DeeBush96
OpenStudy (anonymous):
48
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Directrix (directrix):
48 is an angle.
What side of the triangle is opposite angle B.
The answer is AB, BC, or AC
Directrix (directrix):
Look at this diagram.
Directrix (directrix):
What is the name of the side outlined in red?