triangles

[rachelmaddie]

For #14, is this the angle bisector theorem? I need help with setting up an equation.

 

[Steven G]

What does it mean for BD to be the median?

 

[rachelmaddie]

What does it mean for BD to be the median?

The "Angle Bisector" Theorem says that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.

 

[Steven G]

The "Angle Bisector" Theorem says that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.

That may be true, but I asked what a median means?

 

[rachelmaddie]

That may be true, but I asked what a median means?

A line segment joining a vertex of a triangle with the midpoint of the opposite side

 

[Steven G]

A line segment joining a vertex of a triangle with the midpoint of the opposite side

Ok, now what does it mean when this line ends at the midpoint of the opposite side. That is what did D do to line AC?

 

[rachelmaddie]

Ok, now what does it mean when this line ends at the midpoint of the opposite side. That is what did D do to line AC?

It bisects line AC

 

[Steven G]

It bisects line AC

Into 2 equal pieces! So can you know solve the problem or at least set up the equation to solve the problem?

 

[rachelmaddie]

Into 2 equal pieces! So can you know solve the problem or at least set up the equation to solve the problem?

6x + 10 = 2x + 12?

 

[Steven G]

6x + 10 = 2x + 12?

Yes. Good job. Now solve it and show us your work.

 

[rachelmaddie]

Yes. Good job. Now solve it and show us your work.

I don’t know if this is right because when substituting I keep geting different values.
4x = 2
x = 2

 

[Steven G]

I don’t know if this is right because when substituting I keep geting different values.
4x = 2
x = 2

Yes it is! But PLEASE show us your work so we can inform you what mistakes you are making in the checks.

 

[rachelmaddie]

Yes it is! But PLEASE show us your work so we can inform you what mistakes you are making in the checks.

6(2) + 10 = 22
2(2) + 12 = 16

 

[Steven G]

Yes it is! But PLEASE show us your work so we can inform you what mistakes you are making in the checks.

Oops sorry. The solution to 4x = 2 is NOT 2. After all 4(2)\(\displaystyle \neq\)2

 

[rachelmaddie]

Oops sorry. The solution to 4x = 2 is NOT 2. After all 4(2)\(\displaystyle \neq\)2

What am I doing incorrectly in solving the equation?

 

[pka]

I don’t know if this is right because when substituting I keep geting different values.
4x = 2
x = 2

@rachelmaddie, don't you see what I mean. You simply do not have the skills of a low level middle schooler.
No wonder you have so many questions. You should stop trying to learn advanced topics.
Spend the time developing basic mathematical skills none of which you seem to possess .

 

[lev888]

What am I doing incorrectly in solving the equation?

How did you calculate x? Show all steps from 4x=2.

 

[Steven G]

You buy 4 of the same items at the store for a total of $2. You want to find out how much one item costs. How do you do that?


You have been doing computations on your calculators for hours. Then you multiple by 4 and your screen now shows 2. Then you realized that you did not mean to multiply by 4. How do you undo your last step (multiplying by 4). You can start from the very beginning and spend another few hours to get back to where you were or you could simply .....?

 

[rachelmaddie]

6x + 10 = 2x + 12
6x - 2x = 12 - 10
4x = 2
x = 2/4 = 1/2
AD + DC = AC
6x + 10 + 2x + 12 = AC
8x + 22 = AC
8(1/2) + 22 = AC
4 + 22 = AC
AC = 26

 

[rachelmaddie]

Is that correct?