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Mamont248 [21]
3 years ago
5

In the figure, ABCD = EFGH. Identify all pairs of congruent corresponding

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0
Vvcdfjjhgftlohdsgkigdg
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What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3) ?
Lisa [10]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the figure, the line goes through the following points:

(x_ {1}, y_ {1}) :( 8, -10)\\(x_ {2}, y_ {2}): (- 8,10)

We found the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {10 - (- 10)} {- 8-8} = \frac {10 + 10 } {- 16} = \frac {20} {- 16} = - \frac {5} {4}

By definition, if two lines are perpendicular then the product of their slopes is -1:

m * - \frac {5} {4} = - 1\\m = \frac {-1} {- \frac {5} {4}}\\m = \frac {4} {5}

Thus, the equation is of the form:

y = \frac {4} {5} x + b

If the line goes through (x, y) :( 5,3)we have:

3 = \frac {4} {5} (5) + b\\3 = 4 + b\\3-4 = b\\-1 = b

Finally, the equation is:

y = \frac {4} {5} x-1

Algebraically manipulating we have:

y + 1 = \frac {4} {5} x\\5y + 5 = 4x\\4x-5y = 5

Answer:

Option A

6 0
4 years ago
Which of the following is the same as 8.4 x 102
PSYCHO15rus [73]
The same as that would be 102times8.4
4 0
4 years ago
Find the equation in standard form of the line passing through the points (2,-3) and (4,2)
Sonja [21]

The equation of the line passing through the points (x_1,y_1) and (x_2,y_2) is

\frac{x-x_1}{y-y_1} =\frac{x_2-x_1}{y_2-y_1}. Here \frac{y_1-y_1}{x_2-x_1} is the slope of the line.

Substituting numerical values,

\frac{x-2}{y+3} =\frac{4-2}{2+3} \\ \frac{x-2}{y+3} =\frac{2}{5} \\ 5x-10=2y+6\\ 5x-2y-16=0

The equation of the line in standard form is 5x-2y-16=0.

5 0
4 years ago
2/5 divided by 1/8. Simplest form
serg [7]

Answer:

1/20 or in a decimal 0.05

Step-by-step explanation:

Hope This helps :)

7 0
3 years ago
Read 2 more answers
I really need help with this please
Rus_ich [418]

Answer:

1932 and 1736

Step-by-step explanation:

7 0
3 years ago
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