Answer:
x = 3
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle:
15x + 5 + 22x + 4 = 120 add like terms
37x + 9 = 120 subtract 9 from both sides
37x = 111 divide both side by 37
x = 3 and to find the angles replace x with 3 in given expressions
Answer:
area = m²/2π
Step-by-step explanation:
∵ circumference of circle = 2πr = m
∴ r = m/2π
∵ area of circle = πr²
∴ area of circle = (m/2π)² × π = m²/2π² × π = m²/2π
hope this helps
Answer:
How much money did Amy wager on her games?
Step-by-step explanation:
Is she in debt?
Answer:
Approximately 
.
Step-by-step explanation:
Convert the angle of this sector to radians:
.
The formula 
relates the arc length 
of a sector of angle 
(in radians) to the radius 
of this sector.
In this question, it is given that the arc length of this sector is 
. It was found that 
radians. Rearrange the equation to find the radius of this sector:
.
The perimeter of this sector would be:
.
Step-by-step explanation:
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