Total earned Friday = $1445
Total earned Saturday = $1624
Earnings Sunday - $xxx
Average over 3 day period = $1500
Therefor total over 3 day = $1500 x 3 = $4500
So earnigs friday + Saturday = $1445 + $1624 = $3069
$4500 - $3069 = $1431 earned on Sunday
Angle NLM is 78 degrees
A way to do this is to find the arc measure of NM and then divide it by 2 to find the angle of NLM
So first subtract
360-110=250
To find the remaining amount of the arc measures. Which is 250 degrees
Next set arc measures NM and ML together to 250 to find what x equals.
14x+16+9x+4=250
Combine like terms
23x+20=250
Subtract 20 from both sides
23x=230
Divide 23 from both sides
x=10.
Then substitute 10 for the equation representing the arc measure of NM.
14(10)+16
140+16
156
The arc measure of NM is 156 degrees
The angle NLM is an inscribed angle. Meaning that it is half of the arc that intersects.
156/2
78
Angle NLM is 78 degrees
Answer:
<em>97.5 sq. ft.</em>
Step-by-step explanation:
Im presuming the question asks to find area of the shaded region.
First of all, the total figure is a rectangle. We can write an expression(in words) for the shaded area.
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
Now, we find respective areas.
Area of rectangle:
length * width = (5+10) * (12) = 15 * 12 = 180
Area of Small Triangle (white):
A = (1/2) * base * height = (1/2) * 5 * (12-3) = (1/2) * 5 * 9 = 22.5
Area of Large Triangle (white):
A = (1/2) * base * height = (1/2) * 10 * (12) = 60
Now, we find area of shaded region:
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
<em>Shaded Area = 180 - 22.5 - 60 = 97.5 sq. ft.</em>
Answer:
The correct answer is C
Step-by-step explanation:
