From the given options we can say that the only one that represents the area of the sector is; A = n/360 * πr²
<h3>What is the Area of the Sector?</h3>
In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.
The formula for Area of a sector is given as;
θ/360 * πr²
where;
θ is the central angle of the sector
r is radius
Now, looking at the given options we can say that the only one that represents the area of the sector is;
A = n/360 * πr²
where n is the central angle of the sector
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Answer:
$2750/month
Step-by-step explanation:
The quantity of lemonade Regan sold on Saturday is 11/4 gallons
<h3>How to solve fraction?</h3>
- Mark = 2 7/8 gallons
- Regan = 2/3 gallons as much as mark
Amount of lemonade Regan sold = 2 7/8 × 2/3
= 23/8 × 2/3
= 66 / 24
= 11/4 gallons
Complete question:
On Saturday, Mark sold 2 7/8 gallons of lemonade. On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, in gallons did Regan sell?
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As you can see, angle 5 and angle 6 are supplementary. And angle 5 and angle 3 are congruent because they are alternate interior angles.
So it will be
x+2 = 180- x+3
move x over from the right to the left
2x+2 = 183
move 2 over from the left to the right
2x = 181
divide by 2
x= 90.5
and angle 3 and angle 1 are vertical angles so they are congruent. Using the angle 3 formula to solve for the answer:
90.5+3 =93.5
When angles are congruent, their measures are congruent, therefore, measure of angle 1 is 93.5
