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
Degger [83]
1 year ago
10

Basic triangle proofs and congruence only

Mathematics
1 answer:
Sergeu [11.5K]1 year ago
8 0

The Postulate that is used to prove triangle ABC ≅ triangle ADC is SAS Congruence Postulate .

In the question ,

it is given that ,

AD ≅ AB ,

AB is perpendicular to BC , that is AB ⊥ BC

and AD is perpendicular to DC , that is AD ⊥ DC .

Now , in triangle ABC and triangle ADC ,

Side AB = Side AD     ......given

angle B = angle D = 90°     .....because AB ⊥ BC  and AD ⊥ DC  .

Side AC = Side AC         ......because common side

hence , triangle ABC ≅ triangle ADC by SAS Congruence Postulate .

Therefore , The Postulate that is used to prove triangle ABC ≅ triangle ADC is SAS Congruence Postulate .

Learn more about Congruence here

brainly.com/question/7888063

#SPJ1

You might be interested in
PLZ HELP ME GEOMETRY<br> question is below
konstantin123 [22]

The missing justification is for the statement that three angles add to a particular angle. The appropriate choice is ...

... c. Angle Addition Postulate

7 0
3 years ago
How many solutions does this linear system have?
ziro4ka [17]

Answer: C is correct, No solution

Step-by-step explanation:

Let’s simplify the second equation,

8x-4y=-20

We can divide the whole equation by 4...

8x/4-4y/4=-20/4

Which becomes....

2x-y=-5

Now let’s move things around to see if it’s the same equation as the one on top...

-y=-2x-5

y=2x+5

Now we need to solve the systems...

y=2x-5

y=2x+5

Since their slopes are both 2 and their y-intercepts are not identical, the answer is no solution. The two lines will continue on without ever crossing because they have the same slope.

4 0
3 years ago
The sum of seven times a number—<br> PLEASE HELP!
castortr0y [4]

Answer:

x = 6

y = 4

Step-by-step explanation:

Let the two numbers be x and y

<u><em>Condition 1:</em></u>

7x+3y = 54 -----------(1)

<u><em>Condition 2:</em></u>

x = 2+y -----------------(2)

<em>Putting (2) in (1)</em>

=> 7(y+2)+3y = 54

=> 7y+14+3y = 54

=> 10y = 54-14

=> 10y = 40

<em>Dividing both sides by 10</em>

=> y = 4

<em>Now putting y = 4 in eq(2)</em>

=> x = 2+4

=> x = 6

6 0
2 years ago
Read 2 more answers
Please Help ASAP! Simplify roots of negative numbers. Express your answer in simplified form.
Korolek [52]

Answer:

3i\sqrt2

Step-by-step explanation:

We can rewrite the square root of negative 18 as \sqrt{18} \cdot\sqrt{-1}. We can evaluate these two quantities separately. The square root of 18 can be factored to get 3 squared times 2. We can take the 3 out to get 3\sqrt2. Now, the square root of negative one can be rewritten as i, so this is equal to 3i\sqrt2

7 0
2 years ago
Use the formula R = 6e12.77x, where x is the blood alcohol concentration and R, as a percent, is the risk of having a car accide
kenny6666 [7]
Well, It depends. It is either the mathematical term for 100% - 50%, or 6e*Ehq8deh.  So, It is either 1389D9238 or c793-sk2.  So try plotting the database point. Hope this helps :)
3 0
2 years ago
Read 2 more answers
Other questions:
  • How many times do the graphs of<br>the equations y = 2x + 4 and<br>y = -x + 4 intersect?​
    11·1 answer
  • How to write 310,763,136 in word form
    6·2 answers
  • In the equation, which is true about the value of x?
    7·1 answer
  • HELP ME PLZZZZ HELP !!!!!!
    7·2 answers
  • Help me plz 50 points and ill give brainliest if you answer all​
    5·2 answers
  • 95% of what number is 57? I need to find the whole number
    5·2 answers
  • Explain the difference between finding the volume of this right rectangular prism with whole unit cubes and with 1/2 unit cubes.
    15·1 answer
  • How can you determine if a graph is proportional or not? Explain
    14·1 answer
  • PLEASE HELP ME AND BE CORRECT BEFORE ANSWERING
    9·2 answers
  • 9-x/5=3 solve the folloswing equation for x
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!