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
sweet [91]
3 years ago
5

In triangle $ABC,$ point $D$ is on $\overline{AC}$ such that $AD = 3CD = 12$. If $\angle ABC = \angle BDA = 90^\circ$, then what

is $BD$?

Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0

Answer:

BD=4\sqrt{3}\ units

Step-by-step explanation:

we know that

AD=12\ units

3CD=12 ----> CD=4\ units

see the attached figure to better understand the problem

Triangles ABD and BCD are similar by AA Similarity Theorem

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

\frac{BD}{AD}=\frac{CD}{BD}

substitute the given values

\frac{BD}{12}=\frac{4}{BD}

BD^2=48

BD=\sqrt{48}\ units

simplify

BD=4\sqrt{3}\ units

You might be interested in
Would someone mind helping me out with this question on limits?
8090 [49]
Please look at the attached file

3 0
3 years ago
Three hundred three and two hundredths
inessss [21]

303.02

Three hundred three=303

Two hundredths= .02

= 303.02

3 0
3 years ago
A man's basic wage for a 40-hour week
Mashcka [7]

Answer:

467.50

Step-by-step explanation:

do 61.5 times 5 to get 307.5 and add to 160 to get 467.50

6 0
3 years ago
Read 2 more answers
What is the answer of 17 and 16 ​
Vera_Pavlovna [14]

Answer:

c)

Step-by-step explanation:

16) Cost price = Selling price  * 100 / (100- loss%)

= 800 * 100 / 80 = 10*100 = 1000

Loss = Cost Price - Selling price = 1000 -800 = 200

6 0
3 years ago
Your professor assigns five short­-answer questions and then randomly selects one for a quiz. what is the probability that she w
MaRussiya [10]

Hello!

Since there are five short-answer questions and she randomly selects one for a quiz, this can be written as 1/5 because there are 5 choices, but only one can be selected.

Therefore, the probability that she will select question #3 is a 1/5 or 0.2 chance.

7 0
3 years ago
Other questions:
  • 60 boys at a summer camp were asked to complete a survey about their favorite outdoor activity. 18 boys chose biking and 29 boys
    6·1 answer
  • The function D(h)=25h+50 models the distance a train traveled from a station, in miles, h hours after crossing a bridge, what is
    15·2 answers
  • What’s 4 9/16” + 1 15/16”
    15·2 answers
  • Can a base angle of an isosceles triangle be an obtuse angle
    10·1 answer
  • The grocery store puts the apples into bags of 8 apples to sell. How many full bags of 8 apples can they make?
    11·2 answers
  • There's 2 questions here that need to be answered.<br><br><br> Find the value of each variable.
    12·1 answer
  • Write 8/5 as a mixed number.
    15·2 answers
  • What is the measure of DBE?
    5·1 answer
  • Find the value of x.
    10·1 answer
  • Complete the table for the given rule.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!