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mojhsa [17]
3 years ago
5

True or false the area of a regular heptagon can be found by breaking the heptagon into seven congruent triangles and then takin

g the sum of their areas

Mathematics
2 answers:
lisabon 2012 [21]3 years ago
6 0

Answer:TRUE

Step-by-step explanation:

Break it down to 7 triangles find the area of each if they are all equal then the answer is: true.

creativ13 [48]3 years ago
5 0

Answer: The answer is true.

Step-by-step explanation:  The given statement is :

" The area of a regular heptagon can be found by breaking the heptagon into seven congruent triangles and then taking the sum of their areas".

We are to check its is true or false.

In the attached figure, a regular heptagon ABCDEFG is drawn. Sine the heptagon is regular, so all its sides are equal and all its angles are also equal. So, we can break the heptagon into seven congruent triangles 1, 2, 3, 4, 5, 6 and 7 taking 'O' as the centre of the heptagon.

Finding the areas of these seven triangles and taking the sum will result in the area of the heptagon ABCDEFG.

Thus, the given statement is "TRUE".

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Daniel’s basketball team won 24 games and lost 8 games. Express the ratio of wins to losses in simplest form.
posledela

Answer:

3:1

Step-by-step explanation:

24:8 can both be divided by 8, 24/8 = 3, 8/8 = 1, making the ratio

3:1 ,

hope i helped!

7 0
3 years ago
Find the total surface area of the<br> following square pyramid:<br> 4 cm<br> 6 cm<br> SA = [?] cm^2
denis23 [38]

Answer:

84cm^2

Step-by-step explanation:

The pyramid's SA is the square at the bottom plus the triangles on the side.

The square is 6x6=36.

Per triangle, it's BxH/2. B=6. H=4. Therefore, per triangle has a SA of 12 cm^2.

There are 4 triangles. 48 cm^2 in total for the triangles

36cm^2+48cm^2=84cm^2

3 0
3 years ago
Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the tabl
lukranit [14]

Answer:

- Inverse Variation

- Equation: XY = 12

Step-by-step explanation:

Given

X-> 2 | 4 | 8 | 12

Y-> 6 | 3 | 3/2 | 1

Required

- State the type of variation the table represents

- Determine the equation to model the data

To check for type of variation; we'll make use of trial by error method.

To start with; We'll check for direct variation.

This is done using the following expression;

Y = kXwhere k is the constant of variation

Make k the subject of formula

k = \frac{Y}{X}

When Y = 6, X= 2

K = \frac{6}{2} = 3

When Y = 3, X = 4

K = \frac{3}{4}

There's no need to check further as both values of k are not equal

To check for inverse variation;

Y = \frac{k}{X}

Make k the subject of formula

k = YX

When Y = 6, X= 2

K = 6 * 2 = 12

When Y = 3, X = 4

K = 3 * 4 = 12

When Y = 3/2; X = 8

K = \frac{3}{2} * 8 = \frac{24}{2} = 12

When Y = 1, X = 12

K = !2 * 1 = 12

Note that for all values of X and Y, K remains constant;

Hence, the table represents an inverse direction

To determine the equation;

We make use of  k = YX

Substitute 12 for k

So, the equation becomes

12 = XY

Reorder

XY = 12

Hence, the equation is XY = 12

4 0
3 years ago
What is 32 divided by 608
aalyn [17]
19 you could’ve just used the calculator lol
5 0
3 years ago
Read 2 more answers
Which value of x makes the equation true?<br><br> x – 5.8 = –4.2<br><br> x = ????
larisa86 [58]
X equals 1.6 fallenangle666
3 0
3 years ago
Read 2 more answers
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