Answer: option D is the correct answer.
Step-by-step explanation:
The given figure is a kite. In a kite, the diagonal are perpendicular. It means that the diagonals meet at 90 degrees. Therefore,
Angle 1 = 90 degrees
Angle 3 = 90 degrees
Also, the sum of the angles in a triangle is 180 degrees.
Let x represent the third angle in the right angle triangle containing angle 1 and 50 degrees. It means that
50 + 90 + x = 180
140 + x = 180
x = 180 - 140 = 40 degrees
The pair of opposite sides and opposite angles are congruent. It means that
angle 2 = Angle x
angle 2 = 40 degrees
Distribute -5.5(2-6x) first
-5.5 x 2 = -11 & -5.5 x -6x =33x
=> 33x - 11
33x - 11 -2.5x
subtract common like terms
33x - 2.5x = 30.5x
Answer: 30.5x -11
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The lengths of the diagonals are 16 and 48 feet.
To find the area of a kite, you multiply the lengths of the diagonals by each other and divide by 2. All we need to do is fill in the information in the formula and solve for the missing side.
A = pq/2
384 = (x(3x))/2
768 = 3x^2
256 = x^2
16 = x
Now, just multiply this diagonal of 16 by 3 to find the other diagonal of 48.