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Marta_Voda [28]
4 years ago
13

Need help with this anyone please

Mathematics
1 answer:
andriy [413]4 years ago
5 0

Option B: 1

Option C: 6

Solution:

Let us first define the vertical angle theorem:

Vertical angle theorem:

<em>If two lines are intersecting each other, then the vertically opposite angles are congruent.</em>

To find angle 7 is equal to which angle:

Angle 1 and angle 7 are vertically opposite angles.

Therefore by vertical angle theorem, angle 7 = angle 1

Option B is the correct answer.

To find angle 4 is equal to which angle:

Angle 4 and angle 6 are vertically opposite angles.

Therefore by vertical angle theorem, angle 4 = angle 6

Option C is the correct answer.

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Answer:

Below

Step-by-step explanation:

Let x be that missing number

One third of it is x/3

One-ninth of it is x/9

Multiply x/3 and x/9

● (x/3)*(x/9) = (x^2/27)

● (x^2/27) = 108

Multiply both sides by 27

● (x^2/27)*27 = 108*27

● x^2 = 2916

● x = √(2,916) or x = -√(2,916)

● x = 54 or x = -54

So there are two possibilities 54 and -54.

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4 years ago
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The vertices of a triangle are A(1.2), B(3,4), and C(4,1). What is the length of the
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Answer:

Step-by-step explanation:

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3 years ago
Will GIVE 200 Points!!! NEED HELP ASAP!!!! PLEASE HURRY AND HELP!!! For the given statement, write the converse, inverse, and co
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Answer:

See explanation

Step-by-step explanation:

Consider given statement "If a figure is a cube, then it has eight vertices" in math terms. Let

  • statement p be "A figure is cube.";
  • statement q be "A figure has 8 vertices."

Then the statement  "If a figure is a cube, then it has eight vertices"  can be written as

p\Rightarrow q

Converse (q\Rightarrow p): If a figure has eight vertices, then it is a cube.

Inverse (\neg p\Rightarrow \neg q): If a figure is not a cube, then it has not eight vertices.

Contrapositive (\neg q\Rightarrow \neg p): If a figure has not eight vertices, then it is not a cube.

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4 years ago
A certain hereditary disease can be passed from a mother to her children. Given that the mother has the disease, her children in
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Answer:

(a) P=0.694

(b) It is independent, beacuse the probability of having the disease for the children depends only on her mother condition (if she has the disease or not), not the condition of his brothers and sisters.

(c) P=0.25

Step-by-step explanation:

(a) If the mother has 0.33 probabilities of having the disease, the probability of the children having the disease is equal to the product of the probability of the mother having the disease (0.33) and the probability of inherit it (0.50).

So the probability of one child of having the disease is 0.33*0.5=0.167. The probability of not having the disease is then (1-0.167)=0.833

The probability of both children to not have the disease is 0.833^2=0.694.

(b) It is independent, beacuse the probability of having the disease for the children depends only on her mother condition (if she has the disease or not), not the ones of his brothers and sisters.

(c) If the mother has the disease, the child have a probability of 0.5 of having the disease.

The probability, given that the mother has the disease, of both child not having the disease is 0.5^2=0.25.

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4 years ago
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