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2 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

2 answers:

lisabon 2012 [21]2 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]2 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".

You might be interested in

The function g(t) = -16t2 + vt + h represents the height of an object, g, in

notka56 [123]

Answer:

why would you put college and its g(t)= -16^2 +80t + 0

Step-by-step explanation:

this is because it is

5 0

2 years ago

The graph of the quadratic function y = ax^2 + bx + c is given.<br> Find a + b + c.

andrey2020 [161]

Answer:

$\frac{145}{24}\approx 6$ ***

Answers may vary depending on the person reading the graph.

It is hard to tell what they think crosses nicely.

For example, I decided that the graph crossed nicely at the following points:

$(0,3)$

$(2,8)$

$(6,5)$

Step-by-step explanation:

I see that the graph crosses at $(0,3)$ , $(2,8)$ , and $(6,5)$ .

The equation $y=ax^2+bx+c$ tells us the $y$ -intercept is $c$ since when $x=0$ we have $y=a(0)^2+b(0)+c=0+0+c=c$ .

The $y$ -intercept for our graph is $3$ . Therefore, $c=3$ .

So far we have the equation:

$y=ax^2+bx+3$ .

Let's enter the other points creating a system of linear equations to solve:

$8=a(2)^2+b(2)+3$

$5=a(6)^2+b(6)+3$

Let's simplify:

$8=4a+2b+3$

$5=36a+6b+3$

Let's subtract 3 on both sides:

$5=4a+2b$

$2=36a+6b$

I choose to solve the system by elimination.

Let's multiply the top equation by -3:

$-15=-12a-6b$

$2=36a+6b$

Now adding the equations results in:

$-13=24a$

Divide both sides by 24:

$\frac{-13}{24}=a$

Now using one of the equations we can find $b$ :

$5=4a+2b$ with $a=\frac{-13}{24}$

$5=4\frac{-13}{24}+2b$

$5=\frac{-13}{6}+2b$

Add 13/6 on both sides:

$5+\frac{13}{6}=2b$

$\frac{30+13}{6}=2b$

$\frac{43}{6}=2b$

Divide both sides by 2:

$\frac{43}{2(6)}=b$

$\frac{43}{12}=b$

So we have the equation:

$y=\frac{-13}{24}x^2+\frac{43}{12}+3$

Let's evaluate $a+b+c$ now:

$\frac{-13}{24}+\frac{43}{12}+3$

$\frac{-13+86+72}{24}$

$\frac{73+72}{24}$

$\frac{145}{24}$

4 0

3 years ago

The shop declare a discount of 20% and later a discount of 15% after

Zolol [24]

Let, the original amount = x
First discount = x * 0.20 = 0.20x

Amount after first discount = x - 0.20x = 0.80x
Second discount = 0.80x * 0.15 = 0.12x

Amount after second discount = 0.80x - 0.12x = 0.68x
Difference would be: x-0.68x = 0.32x

So, Your Answer would be 32%

Hope this helps!

8 0

3 years ago

A factory buys the box it needs in the form of flat nets what advantges might they have in doing this

konstantin123 [22]

Because they are using flat nets they may be able to get more boxes per area of cardboard purchased instead of purchasing the boxes and losing some extra cardboard from a cutting or gluing process. the flat nets may also be cheaper to ship or take less area than boxes shipped whole.

8 0

3 years ago

Convert each rate, Round to the nearest hundredth if necessary 17 cm/min=_____ ft/h

vaieri [72.5K]

17 cm/min= ________ ft/h
17 x 60 = 1020 cm = 34 feet
Answer: 17 cm/min = 34 ft/h

8 0

3 years ago