Fantastic 4 Gif

geometry problem im really confused on?
Solve for x if BD=x+3 and AE=4x-2.
B is the midpoint of AC.
D is the midpoint of CE.
A. 5/7
B. 4
C. 5/3
D. 2
B and D both could work for this problem, so I’m a bit confused? Or maybe I’m wrong all together?
i’m also a bit confused with these two problems, so if you could help with these too, that would be fantastic!!
http://img338.imageshack.us/img338/2870/041634ji2.gif
If AC=24 and AD=2x-2, then find the value of x.
A. 4
B. 7
C. 12
D. 13
http://img292.imageshack.us/img292/6015/041642gk9.gif
If segment BD is the altitude of triangle ABC, find the value of x.
A. 10
B. 13
C. 19
D. 37
Hi,
Solve for x if BD=x+3 and AE=4x-2.
B is the midpoint of AC.
D is the midpoint of CE.
x = 4
To get this realize that BD connects 2 midpoints of the triangle, so BD is a midsegment. The midsegment BD is parallel to side AE and is equal to half of its length. That means side AE = 2(BD). This equation becomes:
4x – 2 = 2(x + 3)
4x – 2 = 2x + 6
2x – 2 = 6
2x = 8
x = 4
If AC=24 and AD=2x-2, then find the value of x.
x = 7
Since AC = 24 and D is the midpoint then AD and DC are both 12. If AD = 2x – 2, then:
2x – 2 = 12
2x = 14
x = 7
If segment BD is the altitude of triangle ABC, find the value of x.
x = 19
If BD is an altitude to AC then it forms right angles at point D. So 90 = 5x - 5 I hope that helps!! Ken discovers a plothole in Escape From Monkey Island
95 = 5x
19 = x