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
slavikrds [6]
3 years ago
8

In ΔABC, point M is the midpoint of side AB and point D is the midpoint of segment MC. Prove that the area of ΔADC= the area of

ΔBMD
Mathematics
1 answer:
Anna11 [10]3 years ago
8 0
A line segment from a vertex to the midpoint of the opposite side is a "median". A median divides the area of the triangle in half, as it divides the base in half without changing the altitude.
AAMC is half AABC. AADC is half AAMC, so is 1/4 of AABC. (By the formula for area of a triangle.)
ABMC is half AABC. ABMD is half ABMC, so is 1/4 of AABC. (By the formula for area of a triangle.)
Then, AADC = 1/4 AABC = ABMC, so AADC = ABMC by the transitive property of equality.
You might be interested in
Arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the fun
natali 33 [55]
The main factor when x values are high is the nature of the function. For example, polynomial functions intrinsically grow slower than exponential functions when x is high. Also, the greater the degree of the polynomial, the more the function grows in absolute value as x goes to very large values.

In specific, this means that our 2 exponential functions grow faster than all the other functions (which are polynomial) and thus they take up the last seats. Also, 7^x grows slower than 8^x because the base is lower. Hence, the last is 8^x+3, the second to last is 7^x.

Now, we have that a polynomial of 2nd degree curves upwards faster than a linear polynomial when x is large. Hence, we have that the two 2nd degree polynomials will be growing faster than the 2 linear ones and hence we get that they fill in the middle boxes. Because x^2+4>x^2, we have that x^2+4 is the 4th from the top and x^2 is the 3rd from the top.

Finally, we need to check which of the remaining functions is larger. Now, 5x+3 is larger than 5x, so it goes to the 2nd box. Now we are done.
6 0
3 years ago
Is this the right answer
Nata [24]
All internal angles in a quadrilateral add to 360

so
x+110+110+70=360
x+290=360
minus 290 both sides
x=70 degrees
8 0
4 years ago
Read 2 more answers
Please help me with this homework 20 points.
mina [271]
Where is the rest of the information?
3 0
3 years ago
Read 2 more answers
Each problem.
qaws [65]
Can you please explain more about this problem?I can’t understand this
8 0
3 years ago
Ania kupiła w księgarni dwie książki i zapłaciła 37,20, a jurek za swoje zapłacił trzy razy więcej. Ile zapłacił jurek
SVETLANKA909090 [29]

Answer:

111.60

Question:

Ania bought two books in a bookstore and paid 37.20, and Jurek paid three times more for his. How much did Jurek pay?

Step-by-step explanation:

This is a question on multiplying decimals by natural numbers.

Number if books bought by Ania = 2

Cost for the two books = 37.20

Jurek paid = 3 times the amount Ania paid

Amount Jurek paid = 3×37.20

To multiply decimals with whole numbers, first multiply without the decimals

3×3720 = 11160

3 has no decimal place

37.20 has 2 decimal place

Therefore the answer would be in two decimal place = 111.60

So 3× 37.2= 111.60

7 0
3 years ago
Other questions:
  • x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Wh
    15·1 answer
  • Which systems of equations are best solved using addition?
    7·1 answer
  • 20 POINTS IF ANSWERED CORRECTLY AND BRAINLIEST PLEASE HELP ME (07.06 LC)
    8·2 answers
  • What is the greatest value of the data represented by the box plot?
    15·2 answers
  • The length of a rectangle is three feet less than twice its width. If x
    13·1 answer
  • 2) Waren dividing the polynomial p(,) = 6n? - 27n2 +41 +36 by(r - 4), the remainder can be
    13·1 answer
  • What relation does not have an initial value of 50
    7·1 answer
  • What is an equation of the the line that passes through the point (3,6)and is parallel to the line 4x-3y=21
    13·1 answer
  • Jae Li creates this solid wooden sculpture for an art project.
    6·2 answers
  • Factorise 14x2 – X-3
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!