Figure ABCD is a parallelogram. What is the value of n?
2 answers:
Answer
Find out the what is the value of n.
To prove
By using the parallelogram property .
In parallelogram opposite angels are congruent .
As shown in the figure .
∠B = ∠ D
As given
∠B = (2n + 32)°
∠D = (4n - 2)°
(2n + 32) = (4n - 2)
solving the above
4n -2n = 32 +2
2n = 34
n = 17
Therefore the value of n is 17 .
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Answer:
1π
Step-by-step explanation:
suppose the radius of semicircle P is r,
then the radius of semicircle Q = (r+d)/2 ... d≤r
radius of semicircle R = (r-d)/2
area P = 1/2 (r)²π
area Q = 1/2 ((r+d)/2)² π = 1/8 (r² + 2rd + d²)π
area R = 1/2 ((r-d)/2)² π = 1/8 (r² - 2rd + d²)π
shaded area = P-Q-R = 1/2 r²π - 1/4 (r² + d²)π
= ((r² - d²)/4) * π
because there is no constant r value in the question and d value changes with the r change, when the vertical segment length equal the semicircle P radius (r), r=2 and d = 0
therefore the shaded area = ((2² -0²)/4)*π = 1π
