Answer:
64
Step-by-step explanation:
The interior angle of a circle has the theorem divide in 2 the sum of the arcs on the circle.
The circle has arcs 42 and 86.
The interior angle is 42 + 86 = 128.
128/2 = 64
The area of the sector is 86.81π mm²
<u>Explanation:</u>
Given:
Radius of the sector, 25mm
Angle, α = 50°
Area of the sector, A = ?
We know:
Area of the sector = 
On substituting the value, we get:

Therefore, the area of the sector is 86.81π mm²
Answer:
Graph A is postive and Linear! I know this because I was in algebra one!
Step-by-step explanation:
Graph B and C are Negative and Graph D is not Linear!!!!!
Answer: " n = - 4 " .
<u>__________</u>
<u>Step-by-step explanation</u>:
<u>Given</u>:
-n + 8 = 12 ; solve for "n" ;
Subtract "8" from each side of the equation:
-n + 8 - 8 = 12 - 8 ;
to get:
-n = 4 ;
Which is the same as:
-1n = 4 ;
Divide each side of the equation by "-1" ; to isolate "n" on one side of the equation; and to solve for "n" :
-1n / -1 = 4 / -1 ;
to get:
" n = - 4 " ; which is our answer.
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Now, let's check our answer:
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→ by plugging in our value obtained for "n" ; which is " - 4 " ;
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-(-4) + 8 ≟ 12 ?? ;
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From the "left-hand sign" of the equation:
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" - (-4) = ⁺ 4 " ;
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<u>Note</u>: The opposite of negative value; or the negative of a negative value; is equal to that very positive value.
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⇒ " 4 + 8 ≟ 12 ? ;
⇒ " 12 ≟ 12 ? ; Yes!
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The correct answer is: " n = - 4 " .
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Hope this helps! Best wishes!
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