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Genrish500 [490]
2 years ago
9

Draw the line of reflection that reflects △ABC onto triangle Δ A'B'C'

Mathematics
1 answer:
lisov135 [29]2 years ago
8 0

Answer:

Step-by-step explanation:

Coordinates of the vertex A → (-4, -6)

Coordinates of the vertex A' → (6, 6)

Since, y-coordinates are same opposite in notation,

Therefore, by the rule of reflection, line of reflection will be a line parallel to y-axis.

And points A and A' will be equidistant from the line of reflection.

Midpoint between A and A' = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

                                              = (\frac{-4+6}{2},\frac{-6+6}{2})

                                              = (1, 0)

Therefore, x = 1 will be the line of reflection.

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8 0
3 years ago
The size of a rectangular photo frame is 12 11/16cm by 8 3/4cm. Which of the following gives the product of these dimensions rou
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D

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In an effort to determine whether any correlation exists between the price of stocks of airlines, an analyst sampled six days of
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Answer:

Check the explanation

Step-by-step explanation:

Following table shows the calculations:

Delta, X      Southwest , Y            X^2              Y^2                      XY

45.96               38.76               2112.3216     1502.3376          1781.4096

46.8                 45.41                2190.24         2062.0681        2125.188

47.93                15.7                 2297.2849      246.49            752.501

51.78                49.58              2681.1684      2458.1764        2567.2524

52.17                44.34              2721.7089      1966.0356        2313.2178

47.36                18                   2242.9696            324               852.48

Total 292       211.79               14245.6934      8559.1077      10392.0488

Sample size: n =6

Now

S_{yy}=\sum y^{2}-\frac{\left (\sum y \right )^{2}}{n}=1083.27

S_{xx}=\sum x^{2}-\frac{\left (\sum x \right )^{2}}{n}=35.03

S_{xy}=\sum xy-\frac{\left (\sum x \right )\left (\sum y \right )}{n}=84.94

The coefficient of correlation is :

r=\frac{S_{xy}}{\sqrt{S_{xx}S_{yy}}}=0.436

7 0
3 years ago
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