<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: Part a) 375 pounds, Part b) 8 words
Step-by-step explanation:
a)
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Since n represents the number of words there are, we can plug in 20 for n into the equation to get:
C = 15*20 + 75 pounds
C = 300 + 75 pounds
C = 375 pounds
b)
Since C represents the cost of the advert, we can plug in 195 for C into the equation to get:
195 = 15n + 75
Subtract 75 from both sides:
120 = 15n
Divide both sides by 15:
n = 8 words
A number without denominator such is equal to number with denominator 1.
So, 24 is equal to 24/1
5/8 x 24
= 5/8 x 24/1
= (5x24) / (8x1)
= 120/8
= 15
