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Nikolay [14]
3 years ago
8

Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true?

Mathematics
2 answers:
kodGreya [7K]3 years ago
8 0

Answer:

B: AC = 4DB

Step-by-step explanation:

Since B is the midpoint of AC, this means that AB≅BC.

Since D is the midpoint of AB, then AD≅DB.

This means that AD is 1/4 of the length of AC, since it is 1/2 of 1/2 of the length (1/2*1/2 = 1/4).  DB is the same length, since it is congruent to AD.

This means that AC = 4DB.

anastassius [24]3 years ago
3 0
AC=4DB IS THE CORRECT ANSWER

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Analyze the table below and answer the question that follows.
lora16 [44]

Answer:

C. Events E and A are independent

Step-by-step explanation:

we will verify each options

(a)

We can use independent events formula

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we are given

P(B)=0.4

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P(B∩C)=0.05

now, we can plug these values into formula

and we get

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we can see that left side is not equal to right side

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(b)

We can use independent events formula

P(D∩A)=P(D)*P(A)

we are given

P(D)=0.25

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P(D∩A)=0.1

now, we can plug these values into formula

and we get

0.1=0.25*0.6

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we can see that left side is not equal to right side

so, this is FALSE

(c)

We can use independent events formula

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we are given

P(E)=0.5

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now, we can plug these values into formula

and we get

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we can see that both sides are equal

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(d)

We can use independent events formula

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we are given

P(D)=0.25

P(B)=0.4

P(D∩A)=0.15

now, we can plug these values into formula

and we get

0.15=0.25*0.4

0.15=0.1

we can see that left side is not equal to right side

so, this is FALSE


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