dukkchild666
08.12.2020 •
Mathematics
Kendra painted 40% of a banner. Benicio painted an equal amount of the same banner. The rest of the banner remains unpainted. Which fraction describes the amount of banner that remains unpainted?
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Ответ:
The quadrilateral ABCD is a rhombus
Step-by-step explanation:
Given coordinates : A(3,1) B(4,4) C(7,5) and D(6,-2)
Firstly we will find the slope of all the four sides
{Slope = } where (x1,y1) and (x2,y2) are the coordinates of two points
Slope of AB =
=
=3
Similarly
Slope of BC =
=
Slope of CD =
=
=3
Slope of DA
=
=
Here slope of (AB and CD) & (BC and DA) are equal
So AB ║ CD and BC║ DA {parallel lines have equal slope}
Also product of slope of AB and CD =1
So they are not perpendicular {Product of ⊥ lines =-1}
Hence it is a parallelogram
Now the length of AB = √((4-1)² +(4-3)²)
=√(3² + 1²)
=√(9+1)
=√10
Similarly BC =√10
CD =√ 10 and DA =√10
So all the sides of quadrilateral are equal
Hence it is a rhombus