Linear angles are two angles that are part of a straight angle (180*), so both must add up to 180. If 4x+3+10x-5+180, then 14x-2=180, then 14x=182, and x=13
A regular polygon with exterior angle of 7.2 degrees is a 50-gon.
<h3>Regular polygon</h3>
Regular polygon are polygon that are equiangular. This simply means they are polygon with equal angles.
The formula to find the number of sides of a polygon using exterior angle is as follows:
where
n = number of sides
Therefore,
7.2 = 360 / n
cross multiply
7.2n = 360
divide both sides by 7.2
n = 360 / 7.2
n = 50
The polygon has 50 sides. Therefore, it is a 50-gon
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The equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Based on the calculations, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5²
The equation of a circle.
Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center.
r is the radius of a circle.
The midpoint of the given points represents the center of this circle:
h = (4 + 4)/2 = 4
k = (5.5 + 10.5)/2 = 8
Next, we would determine the radius by using the distance formula for coordinates:
r = √[(x₂ - x₁)² + (y₂ - y₁)²]
r = √[(4 - 4)² + (10.5 - 5.5)²]
r = √[0² + 5²]
r = √25
r = 5 units.
Therefore, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
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The median of the triangle is a segment that connects the vertex of the triangle to the midpoint of the side opposite to the vertex. <span>The altitude of the triangle is a segment that connects the vertex of the triangle to the side opposite to the triangle, which intersects that side at exactly 90°.</span>
Percent change = (new number - old number)/(old number) * 100
percent change = (54 - 48)/(48) * 100 = 6/48 * 100 = 0.125 * 100 = 12.5%