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dem82 [27]
3 years ago
5

Which of the following(s) is true of a rectangle?

Mathematics
2 answers:
arsen [322]3 years ago
7 0
<h2>Explanation:</h2>

Let's take a look at all of our options.

A. it is also a square

  • A rectangle is NOT <em>always </em>a square because a square has congruent sides, so that means all four of its sides are <em>always </em>equal.
  • A rectangle <em>can </em>be a square but it can also not be a square, so therefore A cannot be an option because it is not always true about a rectangle.

B. the sum of its angle measures is 360

  • This is true because every quadrilateral's angle measures will add up to 360 degrees, no matter what. This is like how a triangle's angle measures always add up to 180 degrees.
  • B is an option because it is an ALWAYS true statement.

C. it has four congruent angles

  • A rectangle always has 90 degree angles, giving it its shape.
  • Since a rectangle always has the same-degree angles, that means that it DOES have four congruent angles.
  • C is also an option because it is always true.

D. it has four congruent sides

  • A rectangle does not ALWAYS have four congruent sides. Say for example a rectangle has a longer length than its width.
  • A square has four congruent sides, but a rectangle is not always a square, therefore this option is not applicable for a rectangle since it is not always true.
<h2>Answers:</h2>

B and C are always true of a rectangle.

lara [203]3 years ago
6 0

Answer:

B and C are the correct answers

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sergiy2304 [10]

Responder:

26,62

Explicación paso a paso:

Sea x el dinero original que tenía el jugador:

si un jugador pierde en su primer juego el 30% de su dinero, la cantidad perdida será;

= 30/100 \ of \ x\\= 0.3x

Si en el segundo juego pierde el 50% de lo que perdió, entonces la cantidad perdida en el segundo juego será:

= 50/100 \ of \ 0.3x\\= 0.5 \times 0.3x\\= 0.15x

Si en el tercer juego pierde el 40% de todo lo que ha perdido, la cantidad perdida en el tercer juego será:

=\frac{40}{100} \ of \ (0.3x+0.15x) \\= 0.4(0.45x)\\= 0.2025x

Si la cantidad que le queda para seguir apostando es de 37 soles, entonces para calcular la cantidad original que tiene, sumaremos toda la cantidad perdida y la cantidad restante y equipararemos la cantidad original x como se muestra:

0,3x + 0,15x + 0,2025x + 37 = x

0,6525x + 37 = x

x-0,6525x = 37

0,3475x = 37

x = 37 / 0,3475

x = 106,48

La cantidad que tenía originalmente era de 106,48

75% de 106,48

= 75/100 * 106,48

= 0,75 * 106,48

= 79,86

Tomando la diferencia entre su monto original y su 75% será:

= 106.48-79.86\\= 26.62

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2 years ago
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