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astra-53 [7]
3 years ago
5

Given triangle ABC with coordinates A(−2, 7), B(−2, 4), and C(−4, 3), and its image A′B′C′ with A′(2, 3), B′(−1, 3), and C′(−2,

1), find the line of reflection.
The line of reflection is at y =
Mathematics
1 answer:
Setler [38]3 years ago
6 0

Answer:

y = x + 5

Step-by-step explanation:

given an obtuse scalene triangle (∆ABC) with vertices A(-2,7), B(-2,4), and C(-4,3) (representing the preimage of the reflection). And congruent triangle (∆A'B'C') with vertices A'(2,3), B'(-1,3), and C'(-2,1) (representing the image of the reflection / triangle after the reflection).

The easiest way to look at this is by taking the inverse of each point on the preimage (swapping y and x coordinates) and the adding 5 to the y and subtracting 5 from the x to get the image.

You can test this, and you will see that this will match with vertices of the image.

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The probability that Boris will win the contest is:

P = 0.286

<h3>How to get the probability?</h3>

For some given odds a:b, the probability is just computed as the quotient between a and b, which gives:

P = a/b

In this case, the odds are 2:7, so the probability that Boris will win the contest is:

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Written in percentage form, we get:

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Solve by factoring:<br> 1) x² + 6x + 8 = 0
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Based on the situation above, it forms into a right triangle. Therefore we can apply the Pythagorean Theorem. We will use the formula below:

c = √( a² + b²)

In the problem above, the ladder acts as the hypotenuse denoted by c. It has a length of 20 ft. While the base denoted by b is 12 ft. Therefore, we need to solve for a. We will derive the formula above.

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