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
soldi70 [24.7K]
3 years ago
7

The lengths of the

Mathematics
1 answer:
Dmitrij [34]3 years ago
4 0

Answer:

S_{\Delta ABC} = 4·S_{\Delta EDC}

Step-by-step explanation:

From the midpoint theorem, which states that the line that a line drawn such that it joins the midpoints of two sides of a triangle, is parallel to the third side of the triangle and is equal to half the length of the third side

Therefore, the lengths of the sides of ΔDEF, drawn by joining the midpoints of ΔABC is equal to half the length of and parallel to the corresponding side of ΔABC

We therefore, have that the corresponding sides of ΔABC and ΔDEF have a common ratio and a pair of sides in each triangle form same angles, therefore;

ΔDEF is similar to ΔABC by Side, Side, Side SSS similarity.

The length of the perimeter of ΔABC, S_{\Delta ABC} = 2 × The length of the perimeter of triangle ΔEDC, S_{\Delta EDC}

S_{\Delta ABC} = 2 ×  S_{\Delta EDC}

∴  S_{\Delta ABC}  ≠ 4 ×  S_{\Delta EDC}

The statement which is incorrect is therefore;

S_{\Delta ABC}  = 4 ×  S_{\Delta EDC}.

You might be interested in
Please help me find the total area of the composite figure below (geometry)
Akimi4 [234]

Answer:

lw + \frac{1}{2} × π × (\frac{l}{2} )^{2} ⇒ Answer D is correct

Step-by-step explanation:

First, let us find the area of the semi-circle.

Area = \frac{1}{2} × π × r²

<u>Given that,</u>

diameter of the semi-circle is ⇒ <em>l</em>

∴ radius ⇒ <em>l / 2</em>

<u>Let us find it now.</u>

Area = \frac{1}{2} × π × r²

Area =  \frac{1}{2} × π × (\frac{l}{2} )^{2}

<u>                                                     </u>

Secondly, let us find the area of the rectangle.

Area = length × width

<u>Given that,</u>

length ⇒ <em>l</em>

width ⇒ w

<u>Let us find it now.</u>

Area = length × width

Area = l ×w

Area = lw

<u>                                                      </u>

And now let us <u>find the total area.</u>

Total area =  Area of the rectangle + Area of the semi - circle

Tota area = lw + \frac{1}{2} × π × (\frac{l}{2} )^{2}

8 0
2 years ago
Plans say that 1800 gallons of water are recycled through the water rush ride each minute. Ms Luca wants to make a statement abo
algol13
1800 gal converts to 7200 quarts, and divide that by 60 you get 120 quarts of water per second.
7 0
3 years ago
Read 2 more answers
Jerry weighs 95 pounds. This is 15 pounds less than Mikey weighs. How much does Mikey weigh? *
monitta

Answer:

Mikey weighs 110 pounds.

Step-by-step explanation:

Because Mikey weighs 15 pounds more, just add 95 pounds and 15 pounds to get Mikey's weight:

95 + 15 = 110

I hope this helps you!

Please rate my answer and give me Brainliest!

Have a nice day! :)

6 0
3 years ago
Read 2 more answers
The sum of three consecutive integers is 90. Find the three numbers by letting x
Law Incorporation [45]

Answer:

x = 28

Step-by-step explanation:

let us take three consecutive numbers be (x + 1), (x + 2) and (x + 3)

Now,

The sum of three consecutive integers is 90

i.e.,

(x + 1) + (x + 2) + (x + 3) = 90

x + 1 + x + 2 x + 3 = 90

3x + 6 = 90

3x = 90 - 6

3x = 84

x = 84/3

x = 28

x = 28Thus, The value of x is 28

<h2><em><u>VERIFICATION</u></em><em><u>:</u></em></h2>

(x + 1) + (x + 2) + (x + 3) = 90

(28 + 1) + (28 + 2) + (28 + 3) = 90

28 + 1 + 28 + 2 + 28 + 3 = 90

90 = 90

8 0
3 years ago
Read 2 more answers
Louisa’s savings change by -$6 each time she goes bowling. In all, it changed by -$66 during the summer. How many times did she
Sav [38]

Answer: She went 11 times during the summer.

Step-by-step explanation:

If Louisa's savings change by -6 each time she goes bowling and it went to -66, that means that Louisa went another 11 times.

\frac{1}{11}

So therefore your answer would be 11.

6 0
2 years ago
Other questions:
  • PLEASE SOLVE QUICKLY I WILL MAKE YOU BRAINLIEST!!!
    15·1 answer
  • Is math related to science? if so write a paragraph stateing how and when it was found out
    15·1 answer
  • The data below shows the scores of some students on a test: 32, 29, 21, 20, 26, 23, 28 Which box plot represents the data? A box
    15·2 answers
  • A bag contains 3 blue marbles, 7 red marbles, and 5 blue marbles. If Nathan picks 1 marble from the bag at random, what is the p
    7·1 answer
  • (8x^2+2x-6)-(5^2-3x+2)
    9·1 answer
  • What are the type of Forces​
    14·1 answer
  • 1. Which describes the slope of the line graphed
    12·2 answers
  • Given that f(x) = x2 + 5x + 6 and g(x) = x + 2, find (fºg)(x) and
    7·1 answer
  • 22. It takes Lynn 4 ¾ hours to drive to her grandmother's house. If she has already driven 2 ½ hours, how much longer will it ta
    9·1 answer
  • Mat told Sam that for a relation to be a function the input values can repeat but the output values cannot. Sam thought Mrs. Gul
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!