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Wittaler [7]
2 years ago
7

Triangle ABC is translated 3 units to the left and downward 10 units to form triangle A'B'C', then dilated by a factor of 2 to f

orm triangle A''B''C''. Which of the following statements is true for ΔABC and ΔA''B''C''?
Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
8 0

Triangle A"B"C" are similar triangles to triangle ABC and all corresponding angles are congruent. Also, triangle A"B"C" is twice the size of triangle ABC.

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformations are<em> reflection, rotation, translation and dilation.</em>

Translation is the movement of a point either <em>up, left, right or down</em> in the coordinate plane.

Triangle ABC is translated 3 units to the left and downward 10 units to form triangle A'B'C', then dilated by a factor of 2 to form triangle A''B''C''.

Hence:

Triangle A"B"C" are similar triangles to triangle ABC and all corresponding angles are congruent. Also, triangle A"B"C" is twice the size of triangle ABC.

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

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The number of bank robberies that occur in Lagos is modeled to be Poisson distributed with mean of 1.8 per day. Find the probabi
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The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.

The probability of getting exactly three robberies in a day is 0.1607.

<h3>What is meant by poison distribution?</h3>

The Poisson distribution is a discrete probability distribution used in probability theory and statistics to express the likelihood that a given number of events will occur within a specified time or space interval if they occur at a known constant mean rate and regardless of the interval since the last event.

The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.

In the poison distribution a discrete random variable X has the following probability mass function,

$P(X=x)=\frac{e^{-\lambda} \cdot \lambda^x}{x !}$, where $\lambda$ is the mean of the distribution and $x=0,1,2,3 \ldots \ldots$

Given that $\lambda=1.8$

The required probability, $P(X=3)=\frac{e^{-1.8} .(1.8)^3}{3 !}=0.1607$

Therefore, the probability of getting exactly three robberies in a day is = 0.1607.

To learn more about poison distribution refer to:

brainly.com/question/9123296

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