The reason is rooted in the angle addition postulate. If we have the scenario where TR is a line intersecting segment VS at point R, we can establish that by applying the angle addition postulate, we can deduce that x is equal to 30. In option (1), which uses the substitution property of equality, this condition cannot be utilized correctly here. Option (3) involving the subtraction property of equality does not apply either. Lastly, option (4) regarding the addition property of equality is also inappropriate for deriving the value of x.
The illustration is omitted. Please see the attachment below.
Answer:
The area of the shaded sector is 144π square units.
Step-by-step breakdown:
Given:
The central angle for the sector is, 
The circle's radius is, 
The area of a sector with radius 'R' and angle
can be determined with:

Substituting
gives

Thus, the area of the shaded sector calculates to 144π square units.
Answer:
Vertex: (1, -4)
intercept: (-3, 0)
Step-by-step explanation:
Let's be honest, you're not here for a detailed breakdown; you simply want the answer.
HOWEVER... the vertex corresponds to the Y-axis while the intercept aligns with the X-axis.
8mm correlates to 2cm just as 8mm aligns with 20mm
The ratio of 8: 20 simplifies down to 2: 5
3.25cm ÷ 5 equals 0.65cm
Multiplying 0.65 by 2 results in 1.3cm
Your answer amounts to 1.3cm