The value of ∠EOF is 75°.
Step-by-step explanation:
Let us take O be the center of the circle.
Given,
∠AOB = 45°
∠COD = 60°
To find the ∠EOF (value of x)
Now,
Since AD is the diameter of the circle, ∠AOD = 180°
∠AOB+∠COD+∠BOC = ∠AOD
Or, 45°+60°+∠BOC = 180°
or, ∠BOC = 180°-(45°+60°)
= 75°
Again,
∠BOC = ∠EOF as they are vertically opposite angle.
Hence,
∠EOF = 75°
Answer:
The proposition is true.
Step-by-step explanation:
Now we proceed to demostrate that expression given is true by algebraic means:
1)
Given
2)

3)
Distributive property/
4)
Commutative, associative and modulative properties/Existence of additive inverse/
5)
Commutative property/Definition of division
6)

7)
Distributive property/Associative property/
8)
Modulative property/Existence of additive inverse/
9)
Distributive property
10)

11)
Commutative property/Definition of division/Result
Count the difference of the x values between the two points (the run of the slope) and the difference of the y values between the two points (the rise of the slope). That would get you the rate of change, or slope, of the line.
Answer:
x=6
Step-by-step explanation: