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Sveta_85 [38]
3 years ago
14

BRAINLIESTTT ASAP! PLEASE HELP ME :) please check answer..

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0

Answer:

B. False, they could be vertical angles

Step-by-step explanation:

Supplementary just mean when two angles form 180° (a straight line).

So ∠F and ∠G must form a straight line, and ∠G and ∠H must form a a straight line.

I drew the image out below and as you can see, angle F and H forms a vertical angle. A vertical angles is when two lines cross, the opposite angles from each others are called vertical angles.

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A farmer plans to fence a rectangular pasture adjacent to a river the pasture must contain 405,000 square meters
jeyben [28]

The dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose x and y are the sides of the rectangular garden and y is the parallel to the river.

Then according to the problem:

2x + y = P ..(1)

P is the perimeter of the rectangle.

xy = 405000  (area of the rectangle)

Plug the value of y in the equation (1) from the above equation.

P(x) = 2x + 405000/x

P'(x) = x—405000/x² = 0

x = 450 m

P''(x) > 0 hence at x = 450 the value of P(x) is minimum.

y = 405000/450

y = 900 m

P(min) = 1800 m

Thus, the dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

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