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
Ilya [14]
2 years ago
14

In the figure if angleACB = angleCDA, AC = 8 cm and AD= 3 cm, then BD is​

Mathematics
1 answer:
tatiyna2 years ago
6 0

Answer:

AC = 8 cm,

AD = 3 cm and ∠ACB = ∠CDA

From figure,

∠CDA = 90°

∴ ∠ACB = ∠CDA = 90°

In right angled ∆ADC,

AC2 = AD2 + CD2

⇒ (8)2 = (3)2 + (CD)2

CD2 = 64 – 9 = 55

⇒ CD = √55 cm

In ∆CDB and ADC.

∠BDC = ∠AD [each 90°]

∠DBC = ∠DCA [each equal to 90°-∠A]

∴ ∠CDB ∼ ∆ADC

Then,

You might be interested in
Lisa collected leaves from different trees for a sience project. Everyday for a week she collected 7 leaves how many leaves did
julsineya [31]
The total number of leaves that was collected by Lisa is the product of the number of days in a week and the number of leaves she collected per tree. This is shown below,              (7 trees / week) x (7 leaves / 1 tree) = 49 leaves / weekThus, Lisa collected 49 leaves in a week. 

5 0
3 years ago
Sum of $12000 from a financing company for 3 years at 15% per annum. What is the total interest he paid in 3 years
Dahasolnce [82]
So there are many factors to this, but lets assume the basics:

-He made equal payments every month for 36 months

assuming that is true, the answer is $2,975.42

Assuming that is NOT true and he made NO monthly payments at all and at the end paid the entire balance, the interest would be $6,250.50 
7 0
3 years ago
Read 2 more answers
The length of the red line segment is 8, and the length of the blue line segment is 4. How long is the major axis of the ellipse
inessss [21]

Answer: the answer is

C. 12

5 0
3 years ago
Please help! determine the measure of the missing angles. show your work.
IrinaVladis [17]

Top triangle: if the know angle measures are 90 and 55 and there are a total of 180, 90 + 55 + a = 180. This means that angle a = 35°

Bottom triangle: if a is 35, the angle connected to it is 35 because they are vertical angles. The angles of this triangle are 35 + 120 + b = 180. Angle b = 25°

5 0
3 years ago
Find the sum or difference <br> 31/4+42/4=
Alex73 [517]

The sum of 31/4+42/4= 18.25

<u>Step-by-step explanation</u>:

  • The denominators are same.
  • Then add the numerators and keep the denominators same.

The sum of (31/4) + (42/4) = (31+42)/4

⇒ 73/4

⇒ 18.25

8 0
3 years ago
Other questions:
  • Find the sales tax of an item that costs $42 and has a 8.25% sales tax.Round approximately.
    7·1 answer
  • Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two over three
    5·1 answer
  • Which expressions are equivalent to 10 + 4I<br>​
    9·1 answer
  • Two circles that have two common external tangents but no common internal tangents:
    6·1 answer
  • It has been estimated that 17.0 % of mutual fund shareholders are retired persons. Assuming a simple random sample of 400 shareh
    5·1 answer
  • Jenna is a 6th grader at CMS. Jenna was told her mean score on social studies quizzes was 94. She remembered getting scores of 9
    8·1 answer
  • What is 1.33333333332 as a fraction
    10·1 answer
  • What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
    9·1 answer
  • Define volume capacity
    13·1 answer
  • YOU WILL GET 50 POINTS!!!!!!<br> ANSWER THE QUESTION BELOW PLEASE!!!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!