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
Andrej [43]
2 years ago
7

Prove that ABC is a right triangle. Select the correct answer from each drop down menu.

Mathematics
1 answer:
Andrew [12]2 years ago
4 0

All the blanks have been filled , which proves ultimately that Triangle ABC is a right angled Triangle.

<h3>What is Right Angled Triangle ?</h3>

A triangle in which one angle is 90 degree is called a Right Angled Triangle.

AB is congruent to DB because segment DE was constructed so that DE = AB , BC is congruent to EF , because segment EF was constructed so that EF = BC , Since Triangle DEF is a right angled triangle .

DE² +EF²  = DF²  by the Pythagoras Theorem .

WE are given that AB²  +BC²  = AC²

Since DE = AB and EF = BC , DE²  +EF²  = AC²  by the given data

Also DF² = AC² by the above equation .

Taking the square root on both the sides of the equation gives DF = AC .

So AC is congruent to DF by the definition of congruency .

Applying SSS Congruency , Triangle ABC is congruent to DEF .Therefore ABC is a right angled triangle.

To know more about Right Angled Triangle

brainly.com/question/3770177

#SPJ1

You might be interested in
Sets L and J are defined as follows.
wlad13 [49]

Answer:

The second one:

L∪J={i,j,k,l,m,n,o}

Step-by-step explanation:

The union is the elements listed in either set.

So since l,m,n, and o are elements of set L, they will also be elements of whatever it is "unioned" with.

Since i,j,k,l and m are elements of set J, they will also be elements of whatever it is "unioned" with.

When you write the union, just be sure to include each element that occurs in either set once.

So the union of L and J is {i,j,k,l,m,n,o}.

The answer is the second one.

The intersection would actually be that upside down U thing, the ∩ symbol. The intersection of two sets is a list of elements that both sets include.  So here the intersection would just consist of the elements l amd m.

8 0
3 years ago
Read 2 more answers
A curve passes through the point (0,7) and has the property that the slope of the curve at every point P is five times the y-coo
iren [92.7K]

Answer:

y(x) = 7e^(5x)

Step-by-step explanation:

The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that

dy/dx = 5y

Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)

Using the above stated law now, we can relate to our equation, saying that

y(x) = y(0) e^(5x)

The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have

y(x) = 7e^(5x)

And that is our needed equation of the curve

8 0
3 years ago
A new car, valued at $28,000, depreciates at 9% per year. What is the value of the
Black_prince [1.1K]
I believe the answer is $25,480
6 0
3 years ago
Read 2 more answers
What value of x makes the equation true? 32/48 = x/12 A. 2 B. 4 C. 6 D. 8
Semmy [17]
Hey in melo30's twin .the answer is D.8
5 0
3 years ago
Describe how total job benefits and total employee compensation differ.
diamong [38]

<u>Difference between total job benefits and total employee compensation:</u>

<em>Employee compensation:</em>

  • The total employee compensation refers to the amount of money an employee is given in exchange for the tasks they complete for the employer.
  • Employee compensation is the most basic or we can say the minimum amount of money an employee is given. It mostly includes the salary of an employee.

<em>Total job benefits:</em>

  • Total job benefits are not necessarily provided in monetary means. As the name suggests, job benefits are the facilities and advantages provided by the company or the employer to the employees.
  • These benefits are generally performance- based, the better the performance, the better the benefits.
  • Job benefits may include health insurance policies, travel packages, transport facilities and much more.

5 0
3 years ago
Other questions:
  • Please answer by tomorrow! Thanks!
    11·1 answer
  • In 2004 there were 72 million voters registered as Democrats, 55 million American voters registered as Republicans, and 42 milli
    7·1 answer
  • Henry has a new album for his baseball cards. Some of the pages hold 6 cards and the other pages hold 3 cards. If Henry has 36 c
    9·1 answer
  • 3/4x-5/6=2/3x. Solve for x.
    7·1 answer
  • Emily is converting 9 feet per minute into inches per minute. Which conversion factor should she use?
    9·1 answer
  • 13 Solve the inequality n+7&lt;5n-8<br>​
    10·1 answer
  • Sally rolled a 6-sided number cube 40 times and it landed on 4 eight times. What is the experimental probability of Sally gettin
    12·1 answer
  • What is the are of this triangle<br> A.44.4mm2<br> B,17.76<br> C,8.88<br> D5.96
    14·1 answer
  • 1/2-1/3x=-4 solve the equation
    14·2 answers
  • What is the area of this trapezoid?​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!