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maksim [4K]
2 years ago
9

Polygon ABCD is dilated by a certain scale factor with the origin as the center of dilation to form the image A′B′C′D′. The leng

th of is 5.6 units, and the length of is 2.24 units. The value of the scale factor is . Write your answer as a decimal number to two decimal places.
Mathematics
1 answer:
arsen [322]2 years ago
3 0
Th
e value that is being asked for in the question is 0.4. If the polygon is dilated into 2.24 units and its length would be 5.6 units originally, then the value of the scale factor should be .4. I got this through multiplying 5.6 units to each of the choices below, and the one that yielded 2.24 units exact is 0.4
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Are triangles ADC and EBC congruent? triangle ADC is overlapping triangle EBC so that they both share angle ACE, point B is on s
Olin [163]

Answer:

Yes, by AAS ⇒ 2nd answer

Step-by-step explanation:

* <em>Lets revise the cases of congruence</em>

- <u><em>SSS</em></u>  ⇒ 3 sides in the 1st Δ ≅ 3 corresponding sides in the 2nd Δ  

- <u><em>SAS</em></u> ⇒ 2 sides and including angle in the 1st Δ ≅ 2 corresponding

 sides and   including angle in the 2nd Δ  

- <u><em>ASA</em></u> ⇒ 2 angles and the side whose joining them in the 1st Δ   ≅

 2 corresponding angles and the side whose joining them in the 2nd Δ  

- <em><u>AAS</u></em> ⇒ 2 angles and one side in the first triangle ≅ 2 corresponding

 angles   and one side in the 2ndΔ

* <em>Lets solve the problem</em>

- In 2 Δs ADC and EBC

∵ <em>∠ACE is a common angle</em> in the two triangles ⇒ given

∵ <em>∠CAD ≅ ∠CEB</em> ⇒ because they marked with the same symbol

∵ <em>DC ≅ BC</em> ⇒ because they marked with the same symbol

- Two angles and one side in Δ ADC ≅ two corresponding angles  

  and one side in Δ EBC

∴ <u><em>Triangles ADC and EBC congruent by AAS</em></u>

* Yes Triangles ADC and EBC congruent by AAS

8 0
2 years ago
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Korvikt [17]
First month she payed 1451 dollars

Second month she payed 1/3 of that, which is:
1451/3 = 483.66

Third month she payed 1/3 of 483.66 because as text says, every next month she pays 1/3 of previous month payed amount.

483.66/3 = 161.22

Forth month she payed

161.22/3 = 53.74

In total she payed:

$2149.62 - B.

hope this helps :)
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2 years ago
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Answer:

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Step-by-step explanation:

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Suppose a research paper states that the distribution of the daily sea-ice advance/retreat from each sensor is similar and is ap
strojnjashka [21]

Answer:

The value of the parameter is λ is 0.03692

Step-by-step explanation:

Consider the provided function.

f(x) = 0.5\lambda e^{-\lambda |x|} for −∞ < x < ∞.

It is given that standard deviation is given as 38.3 km.

Now we need to calculate the value of parameter λ.

The general formula for the probability density function of the double exponential distribution is: f(x)=\frac{e^{-|\frac{x-\mu}{\beta}|}}{2\beta}

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Compare the provided equation with the above formula we get.

\lambda=\frac{1}{\beta} and μ = 0.

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Now substitute the value of β in \lambda=\frac{1}{\beta}.

\lambda=\frac{1}{27.08219}=0.03692

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