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P(7,6), Q(1,6), R(4,2)
We have PQ parallel to the x axis. We'll call that the base,
b = 7 - 1 = 6
The altitude is then the y difference h = 6 - 2 = 4
The area is
Answer: 12 square units
In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:
(7,6), (1,6), (4,2)
(1,6), (4,2), (7,6)
The area is then half the absolute value of the sum of the cross products:
The angle 5x will be 50⁰. Then the correct option is D.
<h3>What is a parallelogram?</h3>It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
The diagram is given below.
We know the sum of internal angles is 360 degrees.
Then we have
5x + 130 + 5x + 130 = 360
10x = 100
x = 10
Then the angle 5x will be
5x = 5(10)
5x = 50⁰
Then the correct option is D.
More about the parallelogram link is given below.
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