A rectangle is a quadrilateral with either two opposite sides equal and parallel to each other. That is AB is parallel and equal to CD and AD parallel and equal to BC. Parallel lines have equal slopes.
Thus, AB slope is 2, while that of CD is also 2, therefore they are parallel to each other. In addition the modulus of AB and that of CD is the same thus they are equal in length.
AD slope is -1/2 while that of BC is also -1/2 therefore the two are parallel to each other. In addition they are equal in length therefore they are equal in length.
Moreover AB is perpendicular to BC and AD (product of slope of two perpendicular lines is -1)
Therefore, it can be concluded that Quadrilateral ABCD is a rectangle.
Answer:
were is the picture
Step-by-step explanation:
The area of the polygon with the given vertices: (-3,3) (-3,-1) (4,-1) (4,3) is 28 square units
<h3>What is rectangle ?</h3>
A rectangle is a polygon with four sides. The opposite sides of a rectangle are equal while the angles at the vertex is orthogonal
<h3>How to solve for area of the rectangle</h3>
The following are the data given in the question
polygon with the given vertices' as:
(-3,3)
(-3,-1)
(4,-1)
(4,3)
plotting the given polygon shows it is a rectangle with sides
Length, L = 7 units
Width, w = 4 units
Area if a rectangle is given by
= L * w
= 7 * 4
= 28 square units
The area of the polygon is 28 square units
Learn more in area of rectangle: brainly.com/question/16239445
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Answer:
165 mL
Step-by-step explanation:
Density is mass divided by volume:
D = M / V
Solving for volume:
V = M / D
The density is given in g/mL. So first let's convert the mass from kg to g:
2.25 kg × (1000 g / kg) = 2250 g
Plugging in values:
V = (2250 g) / (13.6 g/mL)
V = 165.4 mL
Rounded to 3 significant figures, the volume is 165 mL.
