1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Akimi4 [234]
3 years ago
11

Point B ∈ |AC| so that AB:BC=2:1. Point D ∈ |AB| so that AD:DB=3:2. Find AD:DC

Mathematics
2 answers:
grigory [225]3 years ago
6 0

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

3y+2y=2x\\ \\5y=2x\\ \\y=\dfrac{2}{5}x

Now,

AD=3y\\ \\DC=DB+BC=2y+x=2y+\dfrac{2}{5}y=\dfrac{12}{5}y

So,

AD:DC=3y:\dfrac{12}{5}y=15:12=5:4

katen-ka-za [31]3 years ago
5 0

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
Multiply 4 and 7. Then, divide by q.
Makovka662 [10]

Answer:

28/q

Step-by-step explanation:

4 times 7 equals 28 and then divide 28 by q

5 0
3 years ago
What is the difference of 56.45 and 49.26
vodomira [7]

Answer:

7.19

Step-by-step explanation:

  56.45

-  49.26

--------------

   07.19

6 0
3 years ago
Read 2 more answers
If “x” represents the full price of an item, write an expression to represent the final cost of an item that is 20% off.
zloy xaker [14]
The expression is x -20%
3 0
3 years ago
The diagram shows a prism …,
cluponka [151]

Answer:

See figure below.

Step-by-step explanation:

See the figure below.

4 0
3 years ago
How many solutions does the equation have? 6h−(9−3h)=6−3(h+2)
erica [24]
Hi there,

It only has 1 solution

Hope this helps :)
3 0
3 years ago
Read 2 more answers
Other questions:
  • Please help anybody?!???
    5·1 answer
  • How do you solve: Tori needed to take a taxi. The fare for
    7·1 answer
  • In Δ ABC, the sum of the measures of ∠A and ∠B is 47°. what is the measure of ∠C?
    11·1 answer
  • Can someone answer this math question
    8·1 answer
  • Sarah drank 75% of a one-pint carton of milk at lunchtime. How many ounces of milk were left in the carton?
    5·1 answer
  • Jim used his debit card to withdraw $35 from the ATM. Then, he wrote a check for $8.00. Which equation represents the total amou
    11·2 answers
  • How do I find the slope and the y-intercept?
    6·1 answer
  • Expand the expression ​-2.5(-3 + 4n + 8)
    10·2 answers
  • Evaluate 5.5r8.35s when r12 and s4.
    13·1 answer
  • Heeeeeyyyyy someone can aswer plz? Thx
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!