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xeze [42]
2 years ago
12

Is 8 a unique solution to the equation 3(x-6) = 3x/4

Mathematics
2 answers:
ladessa [460]2 years ago
4 0

Answer:

yes

Step-by-step explanation:

3(x - 6) = \frac{3x}{4} ( multiply both sides by 4 to clear the fraction )

12(x - 6) = 3x , distribute left side

12x - 72 = 3x ( subtract 3x from both sides )

9x - 72 = 0 ( add 72 to both sides )

9x = 72 ( divide both sides by 9 )

x = 8

x = 8 is the only solution and is therefore unique

Irina-Kira [14]2 years ago
3 0

Answer:

8

Step-by-step explanation:

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Step-by-step explanation:

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2 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
Using the Addition Method, find the value of x in the
allochka39001 [22]

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8 0
3 years ago
Kenya is reserving a room in a hotel in France where they use euros (€). The room charge is €75. Suppose the conversion rate is
harkovskaia [24]

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The answer is $97.35

Step-by-step explanation:

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Hope this helps and have a great day!!

4 0
3 years ago
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3 years ago
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