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Nikitich [7]
3 years ago
6

Triangle ABC is rotated 45° about point X, resulting in triangle EFD. Triangle A B C is rotated 45 degrees about point X to form

triangle E F D. The lengths of sides A C and D E are congruent, the lengths of sides A B and E F are congruent, and the lengths of sides D F and C B are congruent. If EF = 4.2 cm, DF = 3.6 cm, and DE = 4.5 cm, what is CB? 3.3 cm 3.6 cm 4.2 cm 4.5 cm
Mathematics
2 answers:
liubo4ka [24]3 years ago
8 0

Answer:

CB = 3.6 cm

Step-by-step explanation:

Here, triangle ABC is rotated about point X which results in triangle EFD. Since triangle ABC is rotated it retains its shape and dimensions. This means that triangle ABC is parallel to triangle EFD ie, ABC≈EFD, also both dimensions will be congruent.

Thus

AB = EF

BC = FD

AC = ED

CB = DF

BA = FE

CA = DE

Since length of side DF = length of side CB, and DF = 3.6 cm. Therefore, CB = DF = 3.6 cm

Length of CB = 3.6 cm

insens350 [35]3 years ago
7 0

Answer: B it's B

Step-by-step explanation: I got it right

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Answer:

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Step-by-step explanation:

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The 89th day is the answer.

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What are equivalent expressions?
Law Incorporation [45]

Answer:

Consider the expressions 32+1 and 5×2 . Both are equal to 10 . That is, they are equivalent expressions.

Now let us consider some expressions that include variables, say 5x+2 .

The expression can be rewritten as 5x+2=x+x+x+x+x+1+1 .

We can re-group the right side of the equation to 2x+3x+1+1 or x+4x+2 or some other combination. All these expressions have the same value, whenever the same value is substituted for x . That is, they are equivalent expressions.

Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.

Example 1:

Are the two expressions 2y+5y−5+8 and 7y+3 equivalent? Explain your answer.

Combine the like terms of the first expression.

Here, the terms 2y and 5y are like terms. So, add their coefficients. 2y+5y=7y .

Also, −5 and 8 can be combined to get 3 .

Thus, 2y+5y−5+8=7y+3 .

Therefore, the two expressions are equivalent.

Example 2:

Are the two expressions 6(2a+b) and 12a+6b equivalent? Explain your answer.

Use the Distributive Law to expand the first expression.

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g Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppos
mario62 [17]

Answer:

a) P(1) = 0.1637

b) P(x\geq 2) = 0.0176

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Step-by-step explanation:

If X follows a poisson distribution, the probability that a disk has exactly x missing pulses is:

P(x)=\frac{e^{-m}*m^x}{x!}

Where m is the mean and it is equal to the value of lambda. So, replacing the value of m by 0.2, we get that the probability that a disk has exactly one missing pulse is equal to:

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Additionally, the probability that a disk has at least two missing pulses can be calculated as:

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Where P(x.

Then, P(0) and P(x\geq 2) are calculated as:

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djyliett [7]

Answer:

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Step-by-step explanation:

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