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
algol [13]
3 years ago
7

Prove that the diagonals of a parallelogram bisect each other. The midpoints are the same point, so the diagonals _____

Mathematics
1 answer:
Molodets [167]3 years ago
8 0

Answer:

Below

Step-by-step explanation:

To prove that the diagonals bisect each other we should prove that they have a common point.

From the graph we notice that this point is E.

ABCD is a paralellogram, so E is the midpoint of both diagonals.

●●●●●●●●●●●●●●●●●●●●●●●●

Let's start with AC.

● A(0,0)

● C(2a+2b,2c)

● E( (2a+2b+0)/2 , (2c+0)/2)

● E ( a+b, c)

●●●●●●●●●●●●●●●●●●●●●●●●

BD:

● B(2b,2c)

● D(2a,0)

● E ( (2a+2b)/2 , 2c/2)

● E ( a+b ,c)

●●●●●●●●●●●●●●●●●●●●●●●●●

So we conclude that the diagonals bisect each others in E.

You might be interested in
The question is in the screenshot.
Musya8 [376]

Answer:

v = 4

Step-by-step explanation:

<em>u + at = v</em>

a (-2) multiplied by t (3) = -6

-6 + u (10) = 4

5 0
2 years ago
Read 2 more answers
Which is closest to the value of w in the triangle below?
mr Goodwill [35]

Answer: B. 2.5 in

Step-by-step explanation:

From the given right angle triangle,

the hypotenuse of the right angle triangle is the unknown side.

With m∠32 as the reference angle,

the adjacent side of the right angle triangle is 4 in

the opposite side of the right angle triangle is w

To determine w, we would apply

the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side. Therefore,

Tan 32 = w/4

w = 4tan32 = 4 × 0.625

w = 2.5 in

8 0
3 years ago
Why is randomization important when setting up an experiment to answer this research question?
Leokris [45]

Answer:

Answer c !

Step-by-step explanation:

Hope this helps c:

6 0
3 years ago
Find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.5414. (b)
Akimi4 [234]

Answer:

Part (a) The value of Z is 0.10396. Part (b) The value of Z is 0.410008.

Step-by-step explanation:

Consider the provided information.

Part (a)

In order to find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.5414, simply find 0.5414 in the table and search for the appropriate Z-value.

Now, observing the table it can be concluded that the value of Z is 0.10396.

Part (b)

Consider the number 65.91%

The above number can be written as 0.6591.

Now, find 0.6591 in the table and search for the appropriate Z-value.

By, observing the table it can be concluded that the value of Z is 0.410008.

7 0
3 years ago
Se dau punctele coliniare A,B,C cu distanta AB=30 BC=15 .Calculati distanta dintre AsiC.Catr soluti are proclrma?
Arlecino [84]
36 is your answer to that question
5 0
3 years ago
Other questions:
  • skinny Malone has a lot of pets he has 4 more goldfish than Turtles and one less Canary than goldfish six of his pets are birds.
    5·1 answer
  • based only on the information given in the diagram which congruence theorems or postulates could be given as reason why ABC=DEF
    9·1 answer
  • Students get a 15% discount off the original prices at the Everything Fluorescent store during its back to school sale. Find the
    13·1 answer
  • Having trouble finding what y equals
    9·1 answer
  • On each of five slips of paper, you wrote the words eggs, waffles, pancakes, fruit, and muffin. Every day, you choose one slip f
    10·2 answers
  • Tissues of living organisms consist primarily of organic compounds; that is, they contain carbon molecules known as proteins, ca
    8·1 answer
  • Please help me with this math problem, please
    7·1 answer
  • HELP HELP PLEASSEEE I HAV 2 MINUTES LEF
    11·2 answers
  • Help thank you
    6·1 answer
  • Jessica opened a case of juice boxes.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!