answer.
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
Natalka [10]
2 years ago
12

Name the postulate or theorem you can use to prove ∆ABD ≅ ∆CBD.

Mathematics
2 answers:
lions [1.4K]2 years ago
7 0

Answer:- D) AAS Theorem


Explanation:-

Given :- Δ ADC where ∠A=∠C , ∠ABD=90° which means Bd is an altitude .

⇒∠CBD =90° [∵∠ABD+∠CBD=180° linear pair]

Proof :- In  ∆ABD and ∆CBD.


∠A=∠C [given]..> <u>angle</u>

∠ABD=∠CBD [right angle]..><u> angle</u>

BD=BD [Reflexive property]..><u> </u><u>side</u>

⇒ ∆ABD ≅ ∆CBD [by AAS congruence theorem]

AAS congruence theorem tells that if two angles and one side of a triangle is congruent to the two angles and one side of a triangle then the triangles are congruent.



lozanna [386]2 years ago
5 0
Hey there!

Triangle CBD is congruent to triangle ABD. This means that BD is congruent to BD by reflexive property. You have two congruent angles, and one congruent side. This would be AAS theorem. The answer is D.

I hope this helps!
You might be interested in
Find the first partial derivative:<br><br> f(x, y) = y^5 -3xy
Romashka-Z-Leto [24]
Partial derivative is derivative over only 1 variable.
here we have 2 variables so it depends on which variable you want to make partial derivative.

case 1. 
df/dx = -3y

case 2
df/dy = 5y^4 - 3x
8 0
2 years ago
Taylor bought 6 tickets to a movie. The price of each ticket was the same. After he bought the tickets, his account balance show
Sladkaya [172]

It is -11.34

-$68.04 divide by 6 is -$11.34, so instead of 11.34, it's -11.34

3 0
2 years ago
A bag contains 100 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records
ra1l [238]

Answer:

35 red marbles

Step-by-step explanation:

So we can put the different color marbles in a ratio. So 7:2:11. If we add all of those up we get 20. We do 100/20 to get 5. Each number in the ratio is equivalent to 5 marbles. Then we do 7*5 to get 35. We can check our work by doing, (7*5) + (2*5) + (11*5) = 100. And it does equal 100 so the answer is correct.

6 0
1 year ago
Read 2 more answers
Grandma is trying out a new recipe for raisin bread. Each batch of bread dough makes three loaves, and each loaf contains 15 sli
Tom [10]

Answer:

0.108

Step-by-step explanation:

Using the poisson probability process :

Where :

P(x =x) = (e^-λ * λ^x) ÷ x!

Given that :

Each batch of bread = 3 loaves

Each loaf = 15 slices

Total slice per batch = 15 * 3 = 45 slices

Number of raising added = 100

Average number of raisin per slice, λ = 100/45 = 20/9

Hence,

Probability that a randomly chosen slice has no raising :

P(x = 0) = (e^-λ * λ^x) ÷ x!

P(x = 0) = (e^-(100/45) * (100/45)^0) ÷ 0!

P(x = 0) = (0.1083680 * 1) / 1

P(x = 0) = 0.108

8 0
2 years ago
Convert 9/16 into decimal
Ksju [112]
0.5625 is the answer I got. Hope this helps. Leave a thanks if so. ☺♥
4 0
2 years ago
Read 2 more answers
Other questions:
  • Jerry has taken a random sample of students and determined the number of electives that each student in his sample took last yea
    13·1 answer
  • The probability that an individual is left-handed is 0.16. in a class of 10 students, what is the mean and standard deviation of
    11·1 answer
  • Sal exercised by stretching and jogging 5 days last week.
    6·1 answer
  • Jody bought 20 shares of amazon at the close price of $121.00. She bought 20 more shares a year later at the price of $127.00. T
    9·2 answers
  • Which represents the solution(s) of the system of equations, y = x2 – x + 1 and y = x? Determine the solution set by graphing.
    12·1 answer
  • There are 15 people in a party, including Hannah and Sarah. We divide the 15 people into 3 groups, where each group has 5 people
    6·2 answers
  • Alissa has $360 for guitar lessons. She pays $25 for each lesson. How many lessons has she attended, if she still has $85 left?
    15·1 answer
  • What is the slope of a line perpendicular to the line whose equation is 3x-12y=2163x−12y=216.
    9·2 answers
  • A clothing store is having a sale where all shirts are 40% off and all the pairs of pants are 30% off. Which of these are true?
    10·1 answer
  • PLS HELP ASAP! GIVING BRAINLIST!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!