What is the length of side AB of parallelogram ABCD? units 4g - 8 B q+4
1 answer:
Answer:
8 units
Step-by-step explanation:
» <u>Concepts</u>
Parallelogram Side Theorem states that the opposite sides of a parallelogram are congruent, meaning they have the same length.
» <u>Application</u>
In this case, we're asked to apply the theorem to find the value of q and then find the length of AB. Thus, we have to set up the equation 4q - 8 = q + 4.
» <u>Solving</u>
Step 1: Subtract q from both sides.
Step 2: Add 8 to both sides.
Step 3: Divide both sides by 3.
Step 4: Plug in the value of q for side AB.
Therefore, the answer is 8 units.
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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
