Answer:
a) 160°
b) 18 sides
Step-by-step explanation:
Interior angle = 180 - exterior
= 180 - 20 = 160°
Each angle of a regular polygon:
[(n-2)×180]/n = 160
180n - 360 = 160n
20n = 360
n = 18
Alternate approach for no. of sides:
360/n = each exterior angle
360/n = 20
n = 360/20 = 18
Center c and a scale factor of 2
Answer:
531 in^2
Step-by-step explanation:
21 x 18 = 378 in^2
17 x 9 = 153 in^2
378 + 153 = 531 in^2
Answer:
24 sides
Step-by-step explanation:
a polygon cannot have a decimal number of sides, it is impossible
since the sum of these exterior angles in a regular polygon must equal 360 degrees. The maximum number of sides that would yield exterior angles that are integers is 360
because 360 ÷ 360 = 1.
Answer:
The equation of the line is;
3y = 2x-8
Step-by-step explanation:
Firstly, we need the to get the slope of the given line
To do this, we will write the equation of the line in the standard form
the standard form
is;
y = mx + b
where m is the slope and b is the y-intercept
y -4 = 2/3(x-3)
y -4 = 2x/3 - 2
y = 2x/3 -2 + 4
y = 2x/3 + 2
with respect to the given equation, the slope of the line is 2/3
Mathematically, when two lines are parallel, the slopes of the line are equal
So now, we want to find the equation of the line that has a slope of 2/3 and passes through the point (1,-2)
so;
y = 2x/3 + b
So substitute the values of (1,-2)
1 for x and -2 for y
-2 = 2/3(1) + b
-2 = 2/3 + b
b = -2 - 2/3
b = (-6-2)/3 = -8/3
So the equation of that line is;
y = 2/3x - 8/3
Multiply through by 3
3y = 2x - 8
