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3 years ago

Which statement can be used to prove that a given parallelogram is a rectangle?

Mathematics

2 answers:

RSB [31]3 years ago

7 0

The correct answer is:

The diagonals of the parallelogram are congruent.

Explanation:

In every parallelogram, opposite angles are congruent. This would not mean it is a rectangle.

Consecutive sides of a parallelogram are only congruent if the parallelogram is a rhombus or a square; this would not be a rectangle.

The diagonals of every parallelogram bisect each other. This would not mean it is a rectangle.

The diagonals of a rectangle bisect each other. If we know this is true about our parallelogram, this means our parallelogram is a rectangle.

Andru [333]3 years ago

3 0

The correct answer of the given question above would be the last option. The statement that can be used to prove that a given parallelogram is a rectangle is the diagonals of the parallelogram are congruent. A rectangle is a parallelogram with four right angles. Hope this answer helps.

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A pet store sells mice reptiles and birds

Vera_Pavlovna [14]

Answer:

P(A or B) represents the probability that a customer will buy either a mouse or a reptile at the pet store. So, there is a 20%, or 1 out 5 chance that a customer will buy either one when they come in to purchase a pet.

Step-by-step explanation:

Probability represents the fraction of the desired number of outcomes over the total number of outcomes. In the case of the pet store, their total outcomes can be the purchase of a mouse, reptile or bird. We don't know how much of each animal they have, however, they tell us that the probability that a customer will buy either a mouse OR a reptile is 0.20. This means that the probability of buying a mouse and the probability of buying a reptile are added together to equal 0.20 or 20% which is also 1/5.

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3 years ago

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Direct variation or not a direct variation y=5/x

MrRissso [65]

Answer:

not direct variation

Step-by-step explanation:

The equation for x and y in direct variation is

y = kx ← k is the constant of variation

y = $\frac{5}{x}$ is not in this form, thus not direct variation.

The equation for x and y varying inversely is

y = $\frac{k}{x}$ ← k is the constant of variation

y = $\frac{5}{x}$ is in this form and represents inverse variation

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3 years ago

7) Una epidemia mató los 3/7 de las vacas de un granero y de las que le quedaron vendió 1/2. Si todavía le quedaron 24 vacas, ¿C

4vir4ik [10]

Answer:

Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.

Step-by-step explanation:

Sea $x$ la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones:

Cantidad inicial de vacas

$x = \frac{24}{\left(1-\frac{3}{7} \right)\cdot \left(1-\frac{1}{2} \right)}$

$x = 84$

Habían inicialmente 84 vacas.

Cantidad de vacas muertas

$y = \frac{3}{7}\cdot x$

$y = 36$

Murieron 36 vacas.

Cantidad de vacas vendidas

$z = \left(1-\frac{3}{7} \right)\cdot \frac{1}{2}\cdot x$

$z = 24$

24 vacas fueron vendidas.

8 0

3 years ago

What is the solution to the system of equations below? Y=-1/3x+6 and x=-6

OleMash [197]

$\left\{\begin{array}{ccc}y=-\frac{1}{3}x+6\\x=-6\end{array}\right\\\text{put the value of x to the first equation}\\\\y=-\dfrac{1}{3}\cdot(-6)+6=2+6=8\\\\\text{Answer:}\ x=-6;\ y=8\to(-6;\ 8)$

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3 years ago

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PLEASE HELP QUICKLY!!: Geometry

Rzqust [24]

These 2 angles are "vertical angles." Thus, angle 1 = angle 4.

Therefore, 6x+1 = 8x-17. Solving for x, 2x = 18 and x = 9 (answer)

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3 years ago