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Answer:
perimeter = 43.98cm
area = 76.96cm^2
Step-by-step explanation:
You take into account that the shaded regions are perfect circles, then, the total perimeter of the shaded regions are given by the circumference of both circles.
You calculate the circumferences, by using the following formula:
(1)
r: radio of the circles = (7/2)cm = 3.5cm
The total perimeter is twice the value of C in the expression (1). You replace r in (1), and calculate the total perimeter:
The perimeter of the shaded region is 43.98cm.
The area of the shaded region is twice the area of one of the circle, which is given by:
The total area of the shaded region is 76.96cm^2
Answer:
∠1 is supplementary to ∠3.
Step-by-step explanation:
Given information: ABCD is a parallelogram.
Prove: ∠1 is supplementary to ∠3.
Proof:
∠1 = ∠ADB
∠2 = ∠DBC
∠3 = exterior angle adjacent to angle D B C.
Statement Reason
∠2 is supplementary to ∠3 Linear pairs
m∠2+m∠3=180° Definition of supplementary angles
Alternative interior angles
m∠1+m∠3=180° Substitute property of equality
∠1 is supplementary to ∠3 Definition of supplementary angles
Hence proved.
