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mariarad [96]
3 years ago
13

The triangles are congruent by SSS or HL. Triangle A B C is reflected across B C to form triangle A prime B C. Triangle A prime

B C is then rotated about point A to form A prime B prime C prime. Triangle A prime B prime C prime is then shifted to the right to form A double-prime B double-prime C double-prime. The diagram shows the sequence of three rigid transformations used to map TriangleABC onto TriangleA"B"C". What is the sequence of the transformations? rotation, then reflection, then translation rotation, then translation, then reflection reflection, then translation, then rotation reflection, then rotation, then translation
Mathematics
2 answers:
Finger [1]3 years ago
8 0

Answer:

  reflection, then rotation, then translation

Step-by-step explanation:

Read the problem statement. It tells you the sequence:

Triangle A B C is <em>reflected</em> across B C to form triangle A prime B C. Triangle A prime B C is <em>then rotated</em> about point A to form A prime B prime C prime. Triangle A prime B prime C prime is <em>then shifted to the right</em> to form A double-prime B double-prime C double-prime.

The transformations are ...

  reflection, then rotation, then translation

Kaylis [27]3 years ago
6 0

Answer:

Reflection, Rotation, translation

Step-by-step explanation:

Read the problem statement. It tells you the sequence:

Triangle A B C is reflected across B C to form triangle A prime B C. Triangle A prime B C is then rotated about point A to form A prime B prime C prime. Triangle A prime B prime C prime is then shifted to the right to form A double-prime B double-prime C double-prime.

The transformations are ...

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Your neighbor has a bag with 5 oranges and 7 apples in it. You will be receiving two pieces of fruit from your neighbor. What is
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Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

5 + 7 = 12 total fruits, which means that N = 12

7 apples, which means that k = 7

You receive 2 fruits, which means that n = 2

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

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