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Katyanochek1 [597]
3 years ago
10

Find the measure of angle J.123°237°57°115°

Mathematics
2 answers:
Bumek [7]3 years ago
5 0

Answer:

57. You Take 180 And Subtract It From The 65 And  58 To Get Your Answer

Step-by-step explanation:


ValentinkaMS [17]3 years ago
5 0

For this case we must find the angle J of the triangle shown in the figure.

On the other hand, we know that the internal sum of the angles of a triangle is 180 degrees.

So:

H + I + J = 180

Knowing that H = 58\ and\ I = 65

58 + 65 + J = 180\\123 + J = 180\\J = 180-123\\J = 57

Thus, the angle J is 57 degrees.

Answer:

57 degrees

Option C


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Solve:<br> -8r - (-2r-3) = 13<br><br> (if you can give a step by step, that would be great!)
coldgirl [10]

Answer:

r =  -  \frac{5}{3}  = 1 \frac{2}{3}  =  - 1.6

Step-by-step explanation:

- 8r -  ( - 2r - 3) = 13

- 8r + 2r + 3 = 13

- 6r + 3 = 13

- 6r = 13 - 3

- 6r = 10

\boxed{\green{r =  -  \frac{5}{3}  = 1 \frac{2}{3}  =  - 1.6}}

4 0
3 years ago
13. En un pueblo, 5 personas escucharon una noticia. En una hora, cada una de ellas
Vera_Pavlovna [14]

Answer:

En 5 horas se habrá enterado todo el pueblo.

Step-by-step explanation:

Sabemos que en un pueblo 5 personas escucharon una noticia.

Una hora más tarde, cada una de ellas le contó la noticia a otras 5.

Luego, éstas contaron la noticia a otras 5 y así sucesivamente.

Nadie cuenta ni escucha la noticia más de una vez y en ese pueblo hay un poco más de 19000 habitantes.

La ecuación a desarrollar para resolver el problema es la siguiente :

Comenzamos con 5 personas que escucharon la noticia a la ''hora 0''.

Una hora más tarde, cada una de ellas le contó a 5 personas, es decir , pasada la primera hora tendremos :

5+5^{2}=30 (I)

Las 5 personas originales de la ''hora 0'' más 25 personas que se enteraron pasada la primera hora. La ecuación que planteamos es la siguiente :

5^{1}+5^{2}+5^{3}+...+5^{x}>19000 (II)

Buscamos el valor de x que satisface la ecuación (II).

Probando y realizando las sumas encontramos que :

5^{1}+5^{2}+5^{3}+5^{4}+5^{5}+5^{6}>19000

19530>19000

El valor de x que satisface (II) es x=6.

Para hallar el número de horas nos fijamos que en (I) el valor del mayor exponente del 5 es el número 2. Para ese valor 2, el tiempo que pasó es una hora.

Entonces para nuestro x=6, el número de horas que pasaron son 5 horas (1 menos que el valor de x)

Todo el pueblo se habrá enterado en 5 horas de la noticia.

7 0
3 years ago
The principal P is borrowed at a simple interest rate are for a period of time T. Find the loans future value A, or the total am
Xelga [282]

Answer:

The total amount due after five years is $57,000.

Step-by-step explanation:

Recall that simple interest is given by the formula:

\displaystyle A=P(1+rt)

Where <em>A</em> is the final amount, <em>P</em> is the principal amount, <em>r</em> is the rate, and <em>t</em> is the time (in years).

Since we are investing a principal amount of $38,000 at a rate of 10.0% for five years, <em>P</em> = 38000, <em>r</em> = 0.1, and <em>t</em> = 5. Substitute:

\displaystyle A=38000(1+(0.1)(5))

Evaluate. Hence:

\displaystyle A=\$ 57,000

The total amount due after five years is $57,000.

4 0
2 years ago
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Degger [83]

Answer:

x = 5

Step-by-step explanation:

-2 -1(coeffcient of -x) = -3

-3x +3 =-12

subtract 3 (the constant) from both sides

cancelling it on the left and leaving -3x = -15

divide each side by -3 leaving x and 5

x = 5

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4 0
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