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jasonoliva13
13.02.2021 •
Mathematics
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Answers on questions: Mathematics
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Ответ:
Step-by-step explanation:
Vertices of the given quadrilateral are A(-4, 3), B(2, -1), C(2, -5) and D(-4, -1)
Since, slope of a line passing through two points
and
is given by,
Slope =![\frac{y_2-y_1}{x_2-x_1}](/tpl/images/1118/1425/f6758.png)
Slope of AB =![\frac{3+1}{-4-2}](/tpl/images/1118/1425/2133f.png)
=![-\frac{2}{3}](/tpl/images/1118/1425/f2819.png)
Slope of AD =![\frac{3+1}{-4+4}](/tpl/images/1118/1425/34d43.png)
= Not defined (Parallel to y-axis)
Slope of DC =![\frac{-5+1}{2+4}](/tpl/images/1118/1425/feae8.png)
=![-\frac{2}{3}](/tpl/images/1118/1425/f2819.png)
Slope of BC =![\frac{-1+5}{2-2}](/tpl/images/1118/1425/095d0.png)
= Not defined (Parallel to y-axis)
Slope of AB = slope of DC =![-\frac{2}{3}](/tpl/images/1118/1425/f2819.png)
Slope of BC = slope of AD = Not defined (parallel to y-axis)
As per property of a parallelogram,
"Opposite sides of a parallelogram are parallel and equal in measure"
Therefore, ABCD is a parallelogram.
Ответ:
X = 5
Step-by-step explanation:
1. Pull out like factors :
3x - 15 = 3 • (x - 5)
2. Solve :
3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
3. Solve :
x-5 = 0
Add 5 to both sides of the equation :
x = 5