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densk [106]
2 years ago
5

* GEOMETRY please help me show the work for 9, 10, and 11!!

Mathematics
1 answer:
KiRa [710]2 years ago
5 0

9) Diagonals of a parallelogram bisect each other, so KN=NM. Thus, KM=13.5+13.5=27 cm

10) Opposite sides of a parallelogram are congruent, so LM=KJ=17 cm

11) Based on Question 9, MN=13.5 cm

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3 years ago
Which figure will tessellate the plane? A. regular pentagon B. regular decagon C. regular octagon D. regular hexagon
Harrizon [31]
<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.

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3 years ago
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5 0
3 years ago
need help.    solve for y.  try factoring first if not possible or difficult use quadratic formula.               y²-6y+6=0
lbvjy [14]
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x_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{6+2\sqrt{3}}{2 }=\frac{2( 3+ \sqrt{3})}{2}= 3+ \sqrt{3}
 

3 0
3 years ago
Read 2 more answers
6 is what percent of 8?
kvasek [131]
6 is 75% of 8. 6/8 can be simplified to 3/4, which is easier to see as 75%.
8 0
3 years ago
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