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Sergeu [11.5K]
2 years ago
7

Determine the value of x

Mathematics
1 answer:
maxonik [38]2 years ago
7 0

Answer:

6\sqrt{3}

Step-by-step explanation:

using the sine rule,

\frac{sin 60}{x} = \frac{sin 30}{6} \\x=\frac{sin60 * 6 }{sin30} \\x=6\sqrt{3}

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The legs of an iscosceles triangle have lengths 3x-1 and -x +27. The base has length 5x+1. What is the length of the base
asambeis [7]

Answer: 36

Step-by-step explanation:

The legs are given to be :

3x - 1 and -x + 27

The base = 5x + 1

One of the properties of an isosceles triangle is that two sides are equal , that is the two legs are equal. This means that

3x - 1 = - x + 27

3x + x = 27 + 1

4x = 28

x = 7

To calculate the length of the base, substitute x = 7 into the length of the base given , that is

Length of the base = 5(7) + 1

L = 35 + 1

L = 36

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iren2701 [21]

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You want to fit all of your lip glosses in _3
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