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3 years ago

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 × $S_{\Delta EDC}$ .

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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

Given that,

diameter of the semi-circle is ⇒ l

∴ radius ⇒ l / 2

Let us find it now.

Area = $\frac{1}{2}$ × π × r²

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

Secondly, let us find the area of the rectangle.

Area = length × width

Given that,

length ⇒ l

width ⇒ w

Let us find it now.

Area = length × width

Area = l ×w

Area = lw

And now let us find the total area.

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>VERIFICATION:</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