The slope for is JK 1/3 , the slope of LK is -2 , the slope of ML is 2/5 , and the slope of MJ is 3/2 . Quadrilateral JKLM is not a parallelogram because neither pair of opposite sides is parallel
Further explanation:
Given vertices are:
J(−4, 1) , K(2, 3) , L(5, -3) , and M(0, −5) .
We have to find the slopes before concluding any result
The formula for slope is:

So:
<u>Slope of JK:</u>

<u>Slope of LK:</u>

<u>Slope of ML:</u>

<u>Slope of MJ:</u>

As the slopes of all sides are different, the given quadrilateral is not a parallelogram because in order for the quadrilateral to be a parallelogram the opposite sides have to be parallel i.e. have equal slopes and there are no sides with equal slopes.
Keywords: Parallelogram, Quadrilateral
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Answer:
$57.12
Step-by-step explanation:
47.60(1.20)=$57.12
Pyramid Surface Area = (½ * Perimeter of Base * Slant Height) + Base Area
Perimeter of Base = 6 * 4 = 24
Base Area = 6 * 6 = 36
Pyramid Surface Area = (½ * Perimeter of Base * Slant Height) + Base Area
Pyramid Surface Area = (½ * 24 * 6) + 36
Pyramid Surface Area = 72 + 36
Pyramid Surface Area = 108 square inches
the standard form for a horizontal ellipse is
X^2/a^2 + y^2/b^2 = 1
Substitute 54 for b and and use (8,18) as the
point to find a
x=8
y=18
8^2/a^2 + 18^2/54^2 =1
64/a^2 + 324/2916 = 1
324/2916 reduces to 1/9
64/a^2 + 1/9 = 1
64/a^2= 1-1/9
64/a^2 = 8/9
64*9/8 = a^2
576/8 = 72
A^2 = 72
A = square root(72) = 8.485
So formula
would be x^2/72 + y^2/2916 =1