B. I mean it’s super easy but I hope it helps
From the diagram, we know that it is an angle that adds up to 360
So
x+4x+2x+10+5x+50=360
Gather like terms
12x+60=360
Move sixty to the other side as a negative number
12x=300
Divide both sirs by twelve
x is equal to 25
AOB is 2x+10
Sub x in 2*25+10
AOB is 60
BOC is 5x+50
5*25+50, which is 175
BOD is x+2x+10
Which is 3x+10
Sub x
3*25+10 which is 85
:)
Answer:
Step-by-step explanation:
tan Θ + tan 2Θ + √3 tan Θ tan 2Θ = √3
tan Θ + tan 2Θ = √3 - √3 tan Θ tan 2Θ
tan Θ + tan 2Θ = √3 ( 1 - tan Θ tan 2Θ)
(tan Θ + tan 2Θ) / (1 - tanΘ tan 2Θ) = √3
tan(Θ + 2Θ) = √3
tan 3Θ = tan (
) we know tan Θ = tan α; Θ = nΠ + α, n belongs to z
3Θ = nΠ + Π/3
Θ = nπ/3 + Π/9 for all n in Z
Answer:
The area of the smallest section is 
The area of the largest section is 
The area of the remaining section is 
Step-by-step explanation:
Please see the picture below.
1. First we are going to name the side of the larger square as x.
As the third section shares a side with the larger square and the four sides of a square are equal, we have the following:
- Area of the first section:


- Area of the second section:
(Eq.1)
- Area of the third section:

(Eq.2)
2. The problem says that the total area of the enclosed field is 975 square yards, and looking at the picture below, we have:

Replacing values:

Solving for x:





3. Replacing the value of x in Eq.1 and Eq.2:
- From Eq.1:


- From Eq.2:


I think the answer is b
I hope this helps :)