What is the area of the following polygon?

Mathematics

1 answer:

muminat1 year ago

6 0

The area of the polygon is 25.5 square units

<h3>How to determine the area of the polygon?</h3>

From the figure, we have the following coordinates

A = (-2, 1)

B = (3, 2)

C = (5, -3)

D = (-1, -3)

The area of the polygon is then calculated as:

A = 0.5 * |(x1y2 - x2y1) + (x2y3 - x3y2) + (x3y4 - x4y3) + (x4y1 - x1y4)|

Substitute the known values in the above equation

Area = 0.5 * |(-2 * 2 - 3 * 1) + (3 * -3 - 5 * 2) + (5 * -3 + 1 * -3) + (-1 * 1 + 2 * -3)|

Evaluate the sum of products

Area = 0.5 * |-51|

Remove the absolute bracket

Area = 0.5 * 51

Evaluate the product

Area = 25.5

Hence, the area of the polygon is 25.5 square units

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What is the measure of angle 4??? please help asap!!!

ArbitrLikvidat [17]

<h3>Answer: 80 degrees</h3>

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Explanation:

Angle 3 and the 100 degree angle are corresponding angles. They are both in the southeast quadrant of their four-corner angle configuration. Assuming the lines that look horizontal are parallel, this would mean angle 3 is 100 degrees. Recall that corresponding angles are congruent when we have parallel lines.

Once we know that angle 3 = 100, we will use this to find angle 4.

Angles 3 and 4 add to 180. They form a straight angle or straight line.

(angle3)+(angle4) = 180

(100) + (angle4) = 180

angle4 = 180-100

angle4 = 80 degrees

7 0

2 years ago

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julsineya [31]

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