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Vladimir79 [104]
3 years ago
11

In the diagram below, what is the measure of the missing angle?

Mathematics
1 answer:
Neporo4naja [7]3 years ago
4 0

Answer:

Answer is 62 degrees.

Step-by-step explanation:

The sum of all angles of a triangle is 180°

x + 70 + 48 = 180

x + 118 = 180

x = 180 - 118

x = 62

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<h2>20 cm.</h2>

Step-by-step explanation:

We know that the permiter is defined as

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Where L is the longest side, S is the smallest and M is the middle side.

If L=x then, S=x-20, where we need to find an expression for M using the law of cosines.

M^{2} =L^{2}+S^{2}-2 \times L \times S \times cos(60\°)\\M=\sqrt{x^{2}+(x-20)^{2}-x(x-20)}\\M=\sqrt{x^{2} +x^{2}-40x+400-x^{2}+20x}=\sqrt{x^{2}-20x+400}

Replacing all expression, the perimeter is

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