Point B ∈ |AC| so that AB:BC=2:1. Point D ∈ |AB| so that AD:DB=3:2. Find AD:DC
2 answers:
Answer:
5:4
Step-by-step explanation:
If point B divides the segment AC in the ratio 2:1, then
AB=2x units and BC=x units.
If point D divides the segment AB in the ratio 3:2, then
AD=3y units and DB=2y units.
Since AD+DB=AB, then

Now,

So,

Answer:
AD:DC=6:9
Step-by-step explanation:
We know that:
AB:BC=2:1
AD:DB=3:2
We can conclude that:
AB+BC=AC
Then:
AB=2/3AC
BC=1/3AC
AD+DB=AB
Then
AD=3/5AB
DB=2/5AB
From the above we can replace:
AD=(3/5)(2/3AC)=6/15AC
On the other hand:
DC= DB+BC
DC=2/5AB+1/3AC
In terms of AC
DC=((2/5)(2/3AC))+1/3AC=4/15AC+1/3AC
DC=27/45AC=9/15AC
From:
AD=6/15AC
DC=9/15AC
we can say that:
AD:DC=6:9
You might be interested in
Answer:
28/q
Step-by-step explanation:
4 times 7 equals 28 and then divide 28 by q
Answer:
7.19
Step-by-step explanation:
56.45
- 49.26
--------------
07.19
Answer:
See figure below.
Step-by-step explanation:
See the figure below.
Hi there,
It only has 1 solution
Hope this helps :)