Answer:
It is 21
Step-by-step explanation:
Answer:
The common factors of 45 and 72 are 9, 3, 1
Step-by-step explanation:
Answer:
x= 13.5
Step-by-step explanation:
f(x) = 2x + 9
f(x) = 36
Set the 2 equations equal to each other;
2x + 9 = 36
Subtract 9 from both sides;
2x = 27
Divide both sides by 2;
x = 13.5
<em>Check:</em>
f(x) = 2x + 9
f(13.5) = 2(13.5) + 9= 27 + 9 = 36
Answer:
x=-4
Step-by-step explanation:
(x+4) ^ (1/3) + (2x+8) ^ (1/3) = 0
Subtract (x+4) ^ (1/3) from each side
(x+4) ^ (1/3) - (x+4) ^ (1/3)+ (2x+8) ^ (1/3) = -(x+4) ^ (1/3)
(2x+8) ^ (1/3) = -(x+4) ^ (1/3)
Cube each side
(2x+8) ^ (1/3) ^3= -(x+4) ^ (1/3)^3
2x+8 = -(x+4)
Distribute the negative sign
2x+8 = -x -4
Add x to each side
2x+8 +x =-x+x-4
3x+8 = -4
Subtract 8 from each side
3x+8-8 =-4-8
3x =-12
Divide by 3
3x/3 = -12/3
x = -4
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.