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iren [92.7K]
2 years ago
12

Please helpabd=58 and bdc=32 what is the measure of adb​

Mathematics
1 answer:
Kruka [31]2 years ago
8 0

Answer:

<ADB = 61degrees

Step-by-step explanation:

From the diagram shown, triangle ADB is isosceles since they projected out from the chord AD. Hence;

<ABD + <ADB + <BAD = 180

Since <ADB = <BAD, then;

<ABD + <ADB + <ADB = 180

Given that:

<ABD = 58degrees

58 + 2<ADB = 180

2<ADB = 180 - 58

2<ADB = 122

<ADB = 122/2

<ADB = 61degrees

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From a group of 13 women and ​12 men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can
Fantom [35]

The total number of ways the study can be selected is: 637065

Given,

Total number of women in a group= 13

Total number of men in a group = 12

Number of women chosen = 8

Number of men chosen = 8

∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.

This in the form of combination factor = nCr

                                                     ∴ nCr = n!/(n₋r)! r!

13C₈ = 13!/(13 ₋ 8)! 8!

        = 13!/5!.8!

        = 1287

12C₈ = 12!/(12₋8)! 8!

        = 12!/5! 8!

        = 495

Now multiply both the combinations of men and women

= 1287 × 495

= 637065

Hence the total number of ways the study group is selected is 637065

Learn more about "Permutations and Combinations" here-

brainly.com/question/11732255

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4 0
2 years ago
HELP!!! 30 points!
user100 [1]
Basically, the equator is like the x-axis of the world and the prime meridian is like the y-axis. You locate places by distances from these lines.
7 0
3 years ago
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Sabiendo que el segmento DE es paralelo a la base del triángulo, las medidas de los segmentos a y b son...
AleksandrR [38]

Answer:

Para resolver correctamente el ejercicio debemos seguir los pasos que se muestran en la explicación.

Step-by-step explanation:

El ejercicio enunciado de manera completa es el siguiente:

7.Sabiendo que el segmento DE es paralelo a la base del triángulo, las medidas de los segmentos a y b son:  

(la gráfica del ejercicio se guardo como archivo adjunto)

-a = 8 cm y b = 10

-a = 9 cm y b = 11

-Ninguna de las respuestas anteriores es correcta.

<em>SOLUCIÓN:</em>

<em>Pasos:</em>

-Primero debemos hallar el valor de a, la gráfica nos indica que debemos hacer,tenemos que restar 15 de 6; entonces:

a= 15cm -6cm=9 cm

-Ahora debemos aplicar el teorema de thales  ;como los segmentos son proporcionales podemos establecer la siguiente relación de esa manera podemos hallar el valor del segmento b;

   \frac{9}{b}=\frac{6}{7} ( para resolver debemos multiplicar en cruz)

 (9x7)=6xb

 63=6b (aquí debemos hallar el valor de b,para eso b pasa a dividir a 63)

  \frac{63}{6}= b

b= 10.5 cm

La respuesta correcta es:   a= 9cm y b= 10.5 cm

(De las opciones de respuesta dadas en el ejercicio ,ninguna corresponde a la respuesta hallada)

8 0
2 years ago
A spinner has 10 equally sized sections, 6 of which are gray and 4 of which are blue. The spinner
bekas [8.4K]

Answer:

6/25

Step-by-step explanation:

6/10 chance for grey.

4/10 chance for blue.

And = Multiplication

Or = Addition

6/10 times 4/10 = 24/100

24% chance or 6/25 chance it will land on grey and blue.

(Theoretical Probability)

7 0
3 years ago
Tries remaining: 3Points out of 1.00Not flaggedFlag question
Dmitrij [34]

\rm\underline\bold{Answer \purple{\huge{\checkmark}}}

C.

A = A0e^-0.000103k

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3 years ago
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