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Talja [164]
3 years ago
14

Find the missing side of the triangle. The two triangles are similar.

Mathematics
1 answer:
Marta_Voda [28]3 years ago
5 0

Answer:

<em> 84 degrees</em>

<em>40 + 56 = 96</em>

<em>180 - 96 = 84</em>

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The question is in the picture. The answer is 14 but I don't know how to get that.
andrezito [222]
Let's convert the problem into Arithmetic progression:
It would be: 5, 9, 13, .... 

Here, a = 5, d = 9 - 5 = 4
We know, S(n) = n/2 [ 2a + (n-1)d ]

Substitute the known values, 
434 = n/2 [ 2(5) + (n - 1)4 ]
434 * 2 = n [ 10 + 4n - 4 ]
868 = 10n + 4n² - 4n
= 4n² + 6n - 868 = 0

d = b² - 4ac
d = 6² - 4(4)(-868)
d = 36+13888
d = 13924

Now, roots = -b +- √d / 2a
= (-6 + √13924) / 2(4)   OR  (-6 - √13924) / 2(4)
= (-6 + 118) / 8   OR  (-6 - 118) / 8
= 112/8  OR  -124/8
= 14 OR -15.5

As number of sticks can't be in negative/decimal or fraction form, -15.5 would be fully rejected.

In short, Your Answer would be 14 [ Remaining root ]

Hope this helps!
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No, coordinates, are not
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A square tile has a side length of 12 cm. What is the area of the tile?
Lesechka [4]

Step-by-step explanation:

Area of square =side×side

=12×12

=144cm^2

Hope this helped! :)

7 0
3 years ago
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