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irina [24]
3 years ago
12

What are the properties of a rectangle ?

Mathematics
1 answer:
diamong [38]3 years ago
5 0

Answer:

The fundamental properties of rectangles are: A rectangle is a quadrilateral The opposite sides are parallel and equal to each other Each interior angle is equal to 90 degrees The sum of all the interior angles is equal to 360 degrees.

Step-by-step explanation:

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Find the equation of a line that is perpendicular to y = 3x – 5 and passes through the point (1, -3).
Svetradugi [14.3K]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad y = \stackrel{\stackrel{m}{\downarrow }}{3}x-5

well then therefore

\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}

so we're really looking for the equation of a line with slope of -1/3 and that passes through (1, -3 )

(\stackrel{x_1}{1}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-\cfrac{1}{3}}(x-\stackrel{x_1}{1})\implies y+3=-\cfrac{1}{3}x+\cfrac{1}{3} \\\\\\ y=-\cfrac{1}{3}x+\cfrac{1}{3}-3\implies y=-\cfrac{1}{3}x-\cfrac{8}{3}

6 0
2 years ago
sandy has $200 in her bank account. if she writes 6 checks for exactly $19.98, what expression describes the change in her bank
kkurt [141]
6x+19.98=200
200-19.98=6x
X= 200-19.98/6
= solve for it.
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Answer:

21?

Step-by-step explanation:

idk

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Answer:

g(x) = sin(x)

f(x) = e^x

Step-by-step explanation:

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Heres a challenge!! Marking most Brainly:)))
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Answer:

(30, 90) is a viable solution

(50, 160) is a nonviable solution

Step-by-step explanation:

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