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labwork [276]
3 years ago
14

If the measure if one angle of a parallelogram is 90 degrees, what is the probability that the parallelogram is a rectangle?

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0
The probability is 100%.

Definition of rectangle:
A rectangle is a parallelogram with one right angle.

Remember that in math, "one right angle" means "at least one right angle."
If a parallelogram has one right angle, it must be a rectangle, and all angles are right angles.

This is why.
There are different ways to show this.
Here is one of them.
Opposite angles of a parallelogram are congruent.
If one angle measures 90 degrees, the opposite angle must also measure 90 degrees. You already have two right angles.
The sum of the measures of the angles of a quadrilateral is 360.
Two angles are right angles which add to 180 deg.
360 deg - 180 deg = 180 deg.
The other two angles have measures that also add up to 180 deg.
Since the other pair of opposite angles is also congruent, then both angles must measure 90 deg.
Therefore, if a parallelogram has one right angle, it must have 4 right angles, and it is a rectangle.
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Find the area of isosceles triangle whose each side is 13cm and base 24cm.show by heron's formula!!
Annette [7]

Answer:

60

Step-by-step explanation:

13*24=60

formula is b*h/2 so

im trash :3

7 0
3 years ago
Read 2 more answers
Considere a função de oferta como sendo y= 5x - 1/2 e a função de demanda como sendo y= -7x + 47/2 , onde x é a quantidade e y é
swat32

A) Temos que igualar isso a 2,50, que é o valor de y, ou seja, o valor do preço. Façamos isso, então, na função de demanda.

y = -7x + \frac{47}{2}

Substituir.

2,50 = - 7x + \frac{47}{2}

Passar o que é x de um lado e o que é número do outro lado.

-7x  = - \frac{47}{2} + 2,50

A fração 47/2 corresponde a 23,5. É mais interessante para nós, nesse caso, utilizar o valor decimal.

-7x  = - 23,5 + 2,50

Somar logo.

-7x = -21

Podemos multiplicar por -1 para tirar os sinais negativos.

7x = 21

Passar o x dividindo

x = \frac{21}{7}

Dividir

\boxed{x = 3}

Para um preço de R$ 2,50, a quantidade demandada é de 3 unidades.



B) Basta igualar as duas formulinhas.

5x - \frac{1}{2} = -7x + \frac{47}{2}

Passar o que é x de um lado e o que é número do outro lado.

5x + 7x = \frac{47}{2} + \frac{1}{2}

Somar tudo. Como as frações têm o mesmo denominador, <u>nada de </u><u>mmc</u>! Basta somar os numeradores.

12x = \frac{48}{2}

Podemos dividir lá, olha:

12x = 24

Passar o x dividindo

x = \frac{24}{12}

Dividir

\boxed{x = 2}

O ponto de equilíbrio é o valor 2.



C) Basta, então, igualar as fórmulas da oferta e da demanda a 10.

Fórmula da oferta

10 = 5x - \frac{1}{2}

Passar o que é x de um lado e o que é número do outro lado.

5x = 10 - \frac{1}{2}

Se 1/2 = 0,5, dá pra resolver sem fazer mmc:

5x = 10 - 0,5

Subtrair

5x = 9,5

Passar dividindo

x = \frac{9,5}{5}

Dividir.

\boxed{x = 1,9}

Fórmula da demanda

10 = -7x + \frac{47}{2}

Passar o que é x de um lado e o que é número do outro lado.

-7x = \frac{47}{2} - 10

Divide 47/2, vai.

-7x = 23,5 - 10

Subtrair.

-7x = 13,5

Passar o 7 dividindo.

x = - \frac{13,5}{7}

Vamos dividir e transformar em decimal.

\boxed{x = -1,9285714285714285714285714285714}


Subtrair a oferta pela demanda.

x = 1,9 - (-1,9285714285714285714285714285714)

Subtrair.

\boxed{x = 3,8285714285714285714285714285714}

Arredondando, o preço será de R$ 3,83.

8 0
3 years ago
What’s the correct answer
Stels [109]
a_n=a_{n-1}+7 \ \ \to  \ \ d=7 \\  \\ a_n=a_1+d(n-1) \\ a_n=17+7(n-1) \\  a_n=17+7n-7 \\ a_n=7n+10

The answer is B. a_n = 7n+10
5 0
3 years ago
Please please help, need this done by 1:45!!!!
GarryVolchara [31]

Answer:

option B. MB/AM=NC/AN

Step-by-step explanation:

we know that

The <u><em>Triangle Proportionality Theorem</em></u> states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally

In this problem

MN is parallel to BC

MN intersect AC and divide into AN and NC

MN intersect AB and divide into AM and MB

so

Applying the Triangle Proportionality Theorem

\frac{AN}{NC}=\frac{AM}{MB}

Rewrite

\frac{MB}{AM}=\frac{NC}{AN}

7 0
3 years ago
Pls help<br> Find the volume of the composite solid.
BaLLatris [955]
6cm this should be right
4 0
2 years ago
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