Answer:
∠EFH = 21°
∠HFG = 62°
∠EFG = 83°
Step-by-step explanation:
The diagram showing the angles has been attached to this response.
From the diagram, it can be deduced that;
Angle EFG = angle EFH + angle HFG
=> ∠EFG = ∠EFH + ∠HFG -------------------(i)
From the question:
∠EFH = (5x + 1)° -------------(ii)
∠HFG = 62° -------------(iii)
∠EFG = (18x + 11)° -------------(iv)
<em>Substitute these values into equation (i) as follows;</em>
(18x + 11) = (5x + 1) + 62
=> 18x + 11 = 5x + 1 + 62
<em>Collect like terms and solve for x</em>
18x - 5x = 1 + 62 - 11
13x = 52
x = 4
Now, to get each measurement, substitute x = 4 into each of equations (ii) - (iv)
∠EFH = (5x + 1)°
∠EFH = (5(4) + 1)°
∠EFH = (20 + 1)°
∠EFH = 21°
∠HFG = 62° [<em>Does not depend on x</em>]
∠EFG = (18x + 11)°
∠EFG = (18(4) + 11)°
∠EFG = (72 + 11)°
∠EFG = 83°
<u>Conclusion:</u>
∠EFH = 21°
∠HFG = 62°
∠EFG = 83°
The result follows directly from properties of modular arithmetic:
That is,
means we can write 
for some integer 
. Then
and taken mod 12, the first term goes away, so
etc
Modelling can be done by Graph Data Modelling
Step-by-step explanation:
1.Graph data modeling is the process in which a user describes an arbitrary domain as a connected graph of nodes and relationships with properties and labels.
2.The following tasks are performed in an iterative manner:
Identify entity types.
Identify attributes.
Apply naming conventions.
Identify relationships.
Apply data model patterns.
Assign keys.
Normalize to reduce data redundancy.
Denormalize to improve performance.
3.One such approach is the property graph model, where data is organized as nodes, relationships, and properties (data stored on the nodes or relationships). ... Nodes are the entities in the graph. They can hold any number of attributes (key-value pairs) called properties
Step: Solvey=2x+6for y:
y=2x+6
Step: Substitute2x+6foryin3y=x−2:
3y=x−2
3(2x+6)=x−2
6x+18=x−2(Simplify both sides of the equation)
6x+18+−x=x−2+−x(Add -x to both sides)
5x+18=−2
5x+18+−18=−2+−18(Add -18 to both sides)
5x=−20
5x/5=−20/5
(Divide both sides by 5)
x=−4
Step: Substitute−4forxiny=2x+6:
y=2x+6
y=(2)(−4)+6
y=−2(Simplify both sides of the equation)
Answer:
x=−4 and y=−2
<u><em>I</em><em> </em><em>hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>you</em></u>
