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Fynjy0 [20]
3 years ago
7

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of

the third side. The lengths of two sides of a triangle are 17 ft and 22 ft. Find the possible lengths of the third side.
Mathematics
2 answers:
Temka [501]3 years ago
7 0

Answer:

Any c answer that fits 5 <c<37 is correct.

Step-by-step explanation:

Say the three sides of the triangle are  

a

,

b

and  

c

. Here,  

a

=

16

and  

b

=

21

. We must find the possible values of  

c

.

Since  

a

+

c

>

b

, we can input:

16

+

c

>

21

c

>

5

.

So the lower bound of  

c

is everything above  

5

.

We also know that  

a

+

b

>

c

. Inputting:

16

+

21

>

c

37

>

c

.

So  

c

must be less than, but not including  

37

.

In conclusion, the side length  

c

must satisfy the following inequality:

eimsori [14]3 years ago
7 0

Answer:

The answer C

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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x - 4 \geq \\ 0

x \geq \\ 4

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A square has a perimeter of 36 millimeters.<br> What is the area of the square?
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Step-by-step explanation:

3 0
3 years ago
Tengo 5 cubos de colores. Uno rojo, uno amarillo, uno verde, uno azul claro y uno azul oscuro. ¿De cuántas formas puedo organiza
rusak2 [61]

Answer:

72 formas

Step-by-step explanation:

Primero vamos a calcular de cuántas formas se puede organizar los 5 cubos en una columna utilizando la regla de la multiplicación:

5 * 4 * 3 * 2 * 1 = 120

Porque tenemos 5 cubos para poner en la base de la columna, luego 4 cubos para la segunda posición de la columna, luego 3 cubos y así hasta organizar todos los cubos.

Luego vamos a calcular de cuántas formas podemos organizar los 5 cubos de tal forma que los cubos azules se toquen entre sí. Para esto vamos a contar los dos cubos azules como si fueran uno solo, es decir, sólo tendríamos "4 cubos" y podríamos organizar los cubos de 24 formas distintas:

4 * 3 * 2 * 1 = 24

Por otro lado, los 2 cubos azules pueden ser organizados de dos formas diferentes: primero el claro y luego el oscuro o primero el oscuro y luego el claro.

Es decir que hay 24 formas distintas de organizar los cubos en donde primero va el claro y luego el oscuro y hay 24 formas de organizar los cubos en donde primero va el oscuro y luego el claro.

Esto significa que de las 120 formas de organizar los 5 cubos, 48 formas tienen los cubos azules juntos y en 72 (120-48) formas los dos cubos azules no se tocan entre sí.

7 0
3 years ago
What is mZG?<br>Enter your answer in the box. <br><br>FGH<br>(x-5)°<br>(3x+24)°<br>x°​
lapo4ka [179]

Answer:

The angle for G is 121°.

Step-by-step explanation:

Given that total angles in a triangle is 180° so in order to find the angle of G, first, you hav eto find the value of x :

x + (x - 5) + (3x + 25) = 180°

5x + 20° = 180°

5x = 160°

x = 32°

Next, you have to find the angle of G :

G = 3x + 25

G = 3(32) + 25

G = 96° + 25°

G = 121°

5 0
3 years ago
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