Answer:
Option B. 
Step-by-step explanation:
step 1
Find the central angle of the shaded sector
Remember that the diameter divide the circle into two equal parts ( 180 degrees each part)
so
Let
x -----> the measure of the central angle of the shaded sector
∠x+72°=180°
∠x=180°-72°=108°
step 2
Find the area of the circle
The area of the circle is
we have
assume
substitute
step 3
Find the area of the shaded sector
Remember that the area of the complete circle subtends a central angle of 360 degrees
so
by proportion find the area of a sector by a central angle of 108 degrees
<h3>
1)</h3>
• 6x -2(x -5) = -2 . . . . given
• 6x -2x +10 = -2 . . . . X Cameron errored here. When multiplying -2 by -5, the result is 10, not -10.
• 4x +10 = -2 . . . . . . x terms are correctly collected
• 4x +10 -10 = -2 -10 . . . . add the opposite of the constant on the left
• 4x/4 = -12/4 . . . . divide by the x-coefficient
• x = -3 . . . . . . . . . . simplify
<h3>2)</h3>
• 11x -10 = -34 . . . . combine like terms
• 11x -10 +10 = 34 +10 . . . . addition property of equality
• 11x = 44 . . . . . . . . simplify
• 11x/11 = 44/11 . . . division property of equality
• x = 4 . . . . . . . . . . . simplify
Answer: the answer should be 52
Step-by-step explanation:
All I’d did is 20-32-40=52
