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Rasek [7]
2 years ago
10

Galen wrote the statement "If the sum of the digits in a number is divisible by 3, the original number is divisible by 3." Which

statements are true regarding his work? Check all that apply.
A: The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3."

B: An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."

C: The statement is not a conditional statement because it does not include both an "if" and a "then" clause.

D:The statement can be proven true or false.

E:The conclusion of the statement is written before the hypothesis.
Mathematics
1 answer:
lord [1]2 years ago
6 0

the answer is B. good luck

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An investigation of a number of automobile accidents revealed the following information:
seropon [69]

Answer:

59 accidents were investigated.

Step-by-step explanation:

The question above is a probability question that involves 2 elements: causes of accidents.

Let

A = Alcohol

E = Excessive speed

In the question, we are given the following information:

18 accidents involved Alcohol and Excessive speed =P(A ∩ E)

26 involved Alcohol = P(A)

12 accidents involved excessive speed but not alcohol = P( E ) Only

21 accidents involved neither alcohol nor excessive speed = neither A U B

We were given P(A) in the question. P(A Only) = P(A) - P(A ∩ E)

P(A Only) = 26 - 18

= 8

So, only 8 accident involved Alcohol but not excessive speed.

The Total number of Accidents investigated = P(A Only) + P( E only) + P(A ∩ E) + P( neither A U B)

= 8 + 12 + 18 + 21

= 59

Therefore, 59 accidents were investigated.

3 0
2 years ago
Name the postulate or theorem you can use to prove ∆ABD ≅ ∆CBD.
lozanna [386]
Hey there!

Triangle CBD is congruent to triangle ABD. This means that BD is congruent to BD by reflexive property. You have two congruent angles, and one congruent side. This would be AAS theorem. The answer is D.

I hope this helps!
5 0
2 years ago
Read 2 more answers
Which transformation maps hexagon 1 into 3?
umka2103 [35]
Let's look at the possibilities:

1. Reflection along the y-axis and rotation of 180 degrees by the origin 0. (Gives us 4 and then 2 in the end)

2. Reflection along the y-axis and reflection along the x-axis. (Gives us 4 and then 3 in the end)

3. Reflection along the x-axis and rotation 90 degrees by the origin 0. (Gives us 4 and then 1 in the end)

4. Rotation of 270 degrees by the origin 0. (Gives us 2 in the end)

Option 2 is the answer.

Best of luck!
5 0
2 years ago
The angle whose sine is 0.39581 is
Lorico [155]
The angle whose sine is 0.39581 is 23.31650126° (round it how you want). 
To calculate this, you need to do the inverse sine of 0.39581. 

Inverse sine looks like sin^{-1}, however, it is not the sine of the angle to the power of -1. 
4 0
2 years ago
Read 2 more answers
Se distribuyen 400 bolsas en tres urnas sabiendo que la primera tiene 80 menos que la segunda y esta tiene 60 menos que la terce
laiz [17]

Answer:

Primeras urnas = 60 bolsas

Segundas urnas = 140 bolsas

Terceras urnas = 200 bolsas

Step-by-step explanation:

Deje que las urnas se representen de la siguiente manera

Primeras urnas = a

Segundas urnas = b

Terceras urnas = c

Se nos dice en la pregunta

400 bolsas se distribuyen en tres urnas

Por lo tanto,

a + b + c = 400 bolsas ......... Ecuación 1

Por la pregunta sabemos que

1) El primero tiene 80 menos que el segundo

a = b - 80

2) Y este segundo tiene 60 menos que el tercero

b = c - 60

Por tanto, c = b + 60

Por lo tanto, sustituimos b - 80 por ayb + 60 por c en la Ecuación 1

a + b + c = 400 bolsas ......... Ecuación 1

b - 80 + b + b + 60 = 400 bolsas

Recopilar términos similares

b + b + b - 80 + 60 = 400 bolsas

3b = 400 + 80 - 60

3b = 420

b = 420/3

b = 140 bolsas

Por lo tanto, el número de bolsas en la segunda urna = 140 bolsas

Dado que a = b - 80

a = 140 bolsas - 80

a = 60 bolsas

Por lo tanto, el número de bolsas en la primera urna = 60 bolsas

Dado que c = b + 60

b = 140 bolsas

c = 140 + 60

c = 200 bolsas.

El número de bolsas en las terceras urnas = 200 bolsas.

4 0
2 years ago
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