In regular polygons, if the number of sides, n, is odd, the lines of symmetry will pass through a vertex and the half of the opposite side.
Step-by-step explanation:
This is equivalent to say that a perpendicular bisector of a side of the regular polygon bisects the angle of the opposite vertex to the side, and divide the polygon into two symmetrical parts.
This is the concept of algebra, given that the area of a rectangular pool is (15x-9), the possible dimensions of the pool by factoring will be:
Area=length×width
Area=(15x-9)
factoring the above we get:
Area=3(5x-3)
therefore the possible dimension will be:
length=5x units
width=3 units
8x+8y=2
-) 8x+5y=1
——————
3y=1
y=1/3
8x+8(1/3)=2
24x+8=6
24x=-2
x=-1/12
(-1/12,1/3)
Answer:
see explanation
Step-by-step explanation:
Given AB ≅ BC, then
AB = BC = x + 6 , and
AC = AB + BC ← substitute values
3x - 31 = x + 6 + x + 6, that is
3x - 31 = 2x + 12 ( subtract 2x from both sides )
x - 31 = 12 ( add 31 to both sides )
x = 43
Hence
AB = BC = x + 6 = 43 + 6 = 49
AC = 3x - 31 =(3 × 43) - 31 = 129 - 31 = 98