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antiseptic1488 [7]
3 years ago
15

To prove a polygon is a rectangle which of the properties listed must be included in the proof

Mathematics
1 answer:
Zigmanuir [339]3 years ago
7 0

Answer:

if the diagonals of a parallelogram are congruent, then it's a rectangle (neither the reverse of the definition nor the converse of a property). If a parallelogram contains a right angle, then it's a rectangle (neither the reverse of the definition nor the converse of a property).

Step-by-step explanation:

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Mr. Lafond is building a rectangular dog run in his backyard. He uses 86 feet of fencing to enclose the dog run. The dog run is
prohojiy [21]

Here,

Perimeter (P)=86 feet

Length (l)=25 feet

Let, width(b)= x feet

Then,

Perimeter= 2(l+b)

86=2(25+x)

43=25+x

x=18

Hence, required width is 18 feet...

5 0
3 years ago
What is the circumference of a circle with a diameter of 9 cm?
Kamila [148]

Answer:

the answer=28.27cm

using formula

c=2πr

d=2r

solving for c

C=πd

=π.9

=28.27

hope it help you

5 0
2 years ago
Una heladeria dispone de 20 frutas distintas para elaborar sus malteadas. Si los clientes pueden elegir tres sabores para mezcla
Dahasolnce [82]

Answer:

Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.

Step-by-step explanation:

En este caso, el cliente que adquiere una malteada de tres sabores distintos sigue el siguiente procedimiento:

1) El primer sabor sale de cualquiera de las 20 frutas disponibles.

2) El segundo sabor es distinto al primer sabor, es decir, que sale de las 19 frutas restantes.

3) El tercer sabor es distinto al primer sabor y al segundo sabor, es decir, que sale de las 18 frutas restantes.

Puesto que existe una doble conjunción y que puede importar el orden según la preferencia del cliente, se habla matemáticamente de una permutación, definida como:

n\mathbb{P}k = \frac{n!}{(n-k)!} (1)

Donde:

n - Número de sabores disponibles, adimensional.

k - Número de sabores escogidos, adimensional.

Si tenemos que n = 20 y k = 3, entonces la cantidad de malteadas de tres sabores distintos es:

n\mathbb{P}k = \frac{20!}{(20-3)!}

n\mathbb{P}k = \frac{20!}{17!}

n\mathbb{P}k = 20\cdot 19\cdot 18

n\mathbb{P}k = 6840

Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.

5 0
3 years ago
Choose the correct solution and graph for the inequality -5y<_-15
riadik2000 [5.3K]

-5y <= -15

divide by -5  (flips the inequality)

y >= 3

closed circle at 3 line to the right

7 0
2 years ago
A Farmer Leans a 12 ft Ladder Against A Barn. The Base of the Ladder Is 6ft From The Barn.l To The Nearest Foot, How High on the
vlada-n [284]

Answer:

10 ft to nearest foot.

Step-by-step explanation:

We use the Pythagoras theorem:

12^2 = 6^2 + h^2    where h is the height on the barn

h^2 = 12^2 - 6^2

h^2 = 144 - 36 = 102

h= √108 = 10.39

5 0
2 years ago
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