The area of the unshaded region of the circle will be 120π units squared.
The area of a sector of a circle of radius r having an angle a° is given by:
Area of sector = (π*
)*(a°/360°) units squared.
Given ∡KLM = 60°. The radius of the circle is 12 units.
⇒The area of shaded sector KLM = (π*
)*(60°/360°) = π·144/6 = 24π sq. units.
The area of the unshaded region of the circle = (total area of the circle) - (the area of sector KLM) = (π*) - 24π = 120π sq units.
∴ The area of the unshaded region of the circle is 120π units squared.
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<em>This question is incomplete. Find the missing figure below.</em>
2 of the graphs are perpendicular lines.
One line has a slope of 2x the other line.
The correct answer is this one: "B) More girls than boys prefer Dodge over Ford or Chevrolet." Jamie collected data from her classmates on their favorite make of car. Based on the data collected, if one hundred boys and one hundred girls are given their choice of a car then <span>More girls than boys prefer Dodge over Ford or Chevrolet.</span>
Answer:
Step-by-step explanation:
If the second angle's measure is based on the first angle's measure, and the third angle's measure is also based on the first angle's measure, then the first angle is the main angle. We will call that x.
1st angle: x
2nd angle: x + 20%
3rd angle: x - 20%
By the Triangle Angle-Sum Theorem, all those angles will add up to 180, so:
x + (x + 20%) + (x - 20%) = 180 and
3x = 180 so
x = 60. That means that
2nd angle: 60 + (.2*60) which is
60 + 12 = 72 and
3rd angle: 60 - (.2*60) which is
60 - 12 = 48. Let's check those angles. If
∠1 = 60
∠2 = 72
∠3 = 48,
then ∠1 + ∠2 + ∠3 = 180 and
60 + 72 + 48 does in fact equal 180, so you're done!
