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Vika [28.1K]
3 years ago
6

Find the value of x in the triangle

Mathematics
2 answers:
Ludmilka [50]3 years ago
8 0

Answer:

2√13

Step-by-step explanation:

By pythagoras theorem:

x² = 6² + 4²

x² = 36 + 16

x² = 52

x = 2√13

miss Akunina [59]3 years ago
5 0

Answer: \sqrt{52}

Step-by-step explanation:

a^2 +b^2 = c^2

4^2 = 16

6^2 = 36

16+36=52

c^2=52

c=\sqrt{52}

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the sum of the angles in a triangle = 180°, thus

x + \frac{1}{2} x + \frac{1}{6} x = 180

multiply through by 6

6x + 3x + x = 1080

10x = 1080 ( divide both sides by 10 )

x = 108

the angles are 108°, 54° and 18°

Since all the angles are different and the largest is 108°

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First mechanic worked for 10 hours and second mechanic worked for 15 hours.

Step-by-step explanation:

Let first mechanic worked for X hours and second mechanic worked for Y hours .

Now, according to the question , they worked for a total of 25 hours .

Thus ,

X + Y = 25.

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