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mixas84 [53]
3 years ago
14

Identify the segments that are parallel, if any, if FDC = GCH

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
5 0

Answer:

B. AD parallel CB

Step-by-step explanation:

If angles F D C = G C H, that makes them corresponding angles.

The transversal being EH, so AD must be parallel to BC, or

alternatively, AD parallel CB.

liq [111]3 years ago
3 0

Answer:

B

Step-by-step explanation:

The two lines will never intersect regardless of the distance they go

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How do I solve this? (please help to find what goes in the boxes as well)
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First Box: Factor by difference of squares

Second Box: It has all perfect squares

Third Box: see my work

Step-by-step explanation:

We have the equation 4x^2=36

Before we do anything, let us bring all of the terms to the left side

4x^2-36=0

Now that we have moved the terms to one side, it is clear that we have a difference of squares.

-Work-

4x^2=36\\\\4x^2-36=0\\\\(2x+6)(2x-6)=0\\\\

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2x+6=0\\\\2x=-6\\\\x=-3

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2x-6=0\\\\2x=6\\\\x=3

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3 years ago
The denominator of a fraction is two more than the numerator. If both numerator and denominator are decreased by six, the simpli
ira [324]

Answer:

\dfrac{40}{42}

Step-by-step explanation:

Let the numerator of the fraction=x

Since the denominator of a fraction is two more than the numerator.

Denominator=x+2

The fraction is therefore:

\dfrac{x}{x+2}

If both numerator and denominator are decreased by six, the fraction becomes:

\dfrac{x-6}{x+2-6}

The simplified result is \dfrac{17}{18}

Therefore:

\dfrac{x-6}{x+2-6}=\dfrac{17}{18}\\$Next, we solve for x\\Cross multiply\\18(x-6)=17(x+2-6)\\18(x-6)=17(x-4)\\Expand the bracket\\18x-108=17x-68\\Collect like terms\\18x-17x=-68+108\\x=40

Substituting x=40 into the initial fraction

\dfrac{x}{x+2}=\dfrac{40}{40+2}=\dfrac{40}{42}

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3 years ago
adults say that they have cheated on a test or exam before. You randomly select six adults. Find the probability that the number
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Answer: a. 1/6. b. 2/3. c. 5/6

Step-by-step explanation:

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Probability of chosen exactly 4 will be 1/6 since 4 can only occur once.

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Probability that the number of adults that have cheated on a test or exam is more than 2 will be:

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3 years ago
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