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Nikolay [14]
3 years ago
15

Reflect line AB over the x- axis.

Mathematics
2 answers:
LenKa [72]3 years ago
8 0

a would be at (1,-2) and b would be at (5,-4)

balu736 [363]3 years ago
4 0

1. Think of a x axis as a mirror line

2. So point A is currently two squares away from the mirror line so if your reflecting line AB over the x axis you would have to count two squares downwards to reflect point A over the line so by looking at the graph the precise coordinate of A(reflected) would be (1,-2)

3. Now do the exact same with point B and finally join the points together.

4. Furthermore if this question asked to reflect AB over the y axis all thats different is that you are treating the y axis as the mirror line.

I hope this made sense sorry if I failed to explain it well .

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Answer:

  ΔDCE by ASA

Step-by-step explanation:

The marks on the diagram show AE ≅ DE. We know vertical angles AEB and DEC are congruent, and we know alternate interior angles BAE and CDE are congruent. The congruent angles we have identified are on either end of the congruent segment, so the ASA theorem applies.

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3 years ago
A track star runs two races on a certain day. The probability thathe wins the first race is 0.7, the probability that he wins th
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Answer:

a) 80% probability that he wins at least one race.

b) 30% probability that he wins exactly one race.

c) 20% probability that he wins neither race.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that he wins the first race.

B is the probability that he wins the second race.

C is the probability that he does not win any of these races.

We have that:

A = a + (A \cap B)

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By the same logic, we have that:

B = b + (A \cap B)

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B) he wins exactly one race.

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C) he wins neither race

Either he wins at least one race, or he wins neither. The sum of these probabilities is 100%.

From a), we have that there is an 80% probability that he wins at least one race.

So there is a 100-80 = 20% probability that he wins neither race.

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Andrew
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