<h3>
Answer: D. regular hexagon</h3>
A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)
In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.
Answer:
43
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° = 
tan60° =
=
=
( multiply both sides by
)
x = 3
Answer:

Step-by-step explanation:
The division problem given to us is
.
To perform the synthetic division, we write out the coefficient of the polynomial. We set the linear factor to zero and solve for x, this becomes our divisor. That is
.
We carry out the synthetic division as shown in the attachment.
The result of the synthetic division is 4 -27 167 -996
The first three terms are the coefficients of the quotient and the last term is the remainder.
Therefore the quotient is
and the remainder is
.
The dividend, the quotient and the divisor are written as

The correct answer is A