In triangle ABC, centroid D is on the median line segment AM. AD=x+4 and DM=2x-4. Find AM.
AM = AD+DM = x+4+2x-4 = 3x
we also know that AD = 2DM, so
AM = 3(2x-4)
so, 3x = 6x-12
x = 4
AM = 12
It's
1.B
2.C
3.A
4.C
5.A
6.C
7.A
8.C
9.D
10.A
11.-1,0
12. 2: reflexive Property , 4: Hinge Theorem
The funny haha answer is 12 my boy.
To find the length of the median line segment AM, we need to use the given information about the centroid D and the length of AD and DM.
The centroid is a point on the median line segment that divides it into two parts, with the ratio 2:1. This means that DM is two times longer than AD.
Let's set up an equation using this information:
DM = 2 * AD
Substituting the given lengths, we get:
2x - 4 = 2(x + 4)
Simplifying the equation:
2x - 4 = 2x + 8
By subtracting 2x from both sides of the equation, we get:
-4 = 8
This equation is false, which means there is no solution. Therefore, we cannot find the length of AM using the given information.
why does he have 7 dislikes?
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1D
2C
3A
4C
5B
6D
7D
8B
(1,0)
Reason 2: Reflexive Property of Congruence
Reason 4: Hinge Theorem