Sum means add
(x+5) + (-4x-2) + (2x-1)
=-3x+3+(2x-1)
=-x+2
The two denominator would be 6 and 8 because they both = 14 and the lcm of both are 24
9514 1404 393
Answer:
Step-by-step explanation:
The interior angle of the m-gon is ...
m-interior = 180 -360/m
The exterior angle of the k-gon is ...
k-exterior = 360/k
The required relationships are ...
m = 3k
m-interior = 14/3(k-exterior)
Substituting for m, we can write the latter relation as ...
(180 -360/(3k)) = 14/3(360/k)
Multiplying by 3k/180, we have ...
3k -2 = 28
k = (28 +2)/3 = 10
The values of k and m are 10 and 30, respectively.
_____
<em>Check</em>
The interior angle of the m-gon is 180 -360/30 = 168 degrees.
The exterior angle of the k-gon is 360/10 = 36 degrees.
The angle ratio is 168/36 = 14/3 as required.
Answer:
The perimeter of the polygon is 
Step-by-step explanation:
we know that
The perimeter is the sum of the length sides of the polygon
In this problem
P=XY+YZ+XZ
the formula to calculate the distance between two points is equal to
step 1
Find the distance XY
we have
X(−1, 3), Y(3, 0)
substitute
step 2
Find the distance YZ
we have
Y(3, 0), Z(−1,−2)
substitute
step 3
Find the distance XZ
we have
X(−1, 3), Z(−1,−2)
substitute
step 4
Find the perimeter
P=XY+YZ+XZ
