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nekit [7.7K]
3 years ago
13

Find the greatest common factor of 9n and 7n^3

Mathematics
1 answer:
stiks02 [169]3 years ago
7 0
The answer is: GCF(9, +7^3) = 1
Explanation:
9 = 3^2

+7 = +7×7

3 = 3

GCF = 1


9 / 1 = 9

+7 / 1 = 7

3 / 1 = 3

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ankoles [38]

Answer:

x = 51°

Step-by-step explanation:

The straight line segment has a total angle of 180°. Therefore, to find the angle inside the triangle that is next to 94°, subtract 94 from 180:

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Please help me AAAAAA
bezimeni [28]

Answer:

45

Step-by-step explanation:

AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.

now, what is f ?

we know this from the relation of AC to FA.

FA = 12 mm

AC = 12 + 28 = 40 mm

so, going from AC to FA we multiply AC by f so that

AC × f = FA

40 × f = 12

f = 12/40 = 3/10

all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).

the area of a triangle is

baseline × height / 2

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and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.

baseline small = baseline large × f

height small = height large × f

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baseline large × height large / 2 = 500

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aAEF = baseline small × height small / 2 =

= baseline large × f × height large × f / 2 =

= baseline large × height large × f² / 2 =

= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =

= 500 × 9/100 = 5 × 9 = 45 mm²

8 0
3 years ago
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