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love history [14]
3 years ago
9

Quadrilateral abcd is a trapezoid with what must be shown to prove that abcd is an isosceles trapezoid?

Mathematics
1 answer:
monitta3 years ago
4 0
Do you have a picture 
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Directions: Complete each proof using the properties of equality. Not all rows be used.
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The answers for 13 and 14 are attached in the file.

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All the dimensions of a pentagon were multiplied by the same factor, and the area of the figure changed by a factor of 25. By wh
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How is 23 written as a fraction
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240,000 to the tenth power
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A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 220 feet of f
MrRa [10]

Answer:

6050 square feet

Step-by-step explanation:

Based on the diagram attached, the area which the available fencing can enclose will measure X x Y feet. As the total length of fencing available is 220 feet, the fenced perimeter must equal 220 feet

Y + 2X = 220

Y = 220 - 2X

Area of a rectangle is determined by multiplying the length of perpendicular sides:

Area = X*Y

Area = X(220 - 2X)

Area = 220X - 2X^{2}

The derivative of an equation determines the slope at any given point of that equation. At the maximum or minimum point of the equation, the slope will be zero. Therefore, differentiating the equation for area and equating it to zero will give the value of X where the area is maximum.

A simple variable can be differentiated using below concept:

f(a) = a^{b}

f'(a) = ba^{b-1}

Using the above concepts to differentiate Area and calculate X will give:

Area = 220X - 2X^{2}

Area' = 220 - 4X = 0

X = 55

Calculating Y:

Y = 220 - 2X

Y = 220 - 2(55)

Y = 110

Calculating Area:

Area = X*Y

Area = 55*110

Area = 6050\sqfeet

8 0
3 years ago
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