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Korolek [52]
3 years ago
9

ILL GIVE BRAINILEST: Write an equation for the triangle and solve the equation to find the value of the variable then find the a

ngle measures

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
6 0

Step-by-step explanation:

The sum of the interior angles of a triangle is equal to 180°. So from the figure, we can see that

m + 2m + (m + 10) = 180

Collecting all similar terms, we get

4m + 10 = 180 \Rightarrow 4m = 170

or

m = 42.5°

So the angle measures are now as follows:

m = 42.5°

2m = 85°

m+ 10 = 52.5°

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Answer:

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Step-by-step explanation:

The sequence is defined by:

$ A(n) = -6 + (n - 1)\bigg( \frac{1}{5} \bigg ) $

To find the first term of the sequence simply substitute n = 1.

First term of the sequence:

$ A(1) = -6 + (1 - 1)\bigg( \frac{1}{5} \bigg ) $

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Fourth term of the sequence:

$ A(2) = -6 + (4 - 1) \bigg ( \frac{1}{5} \bigg) $

        $ = - 6 + 3\bigg( \frac{1}{5} \bigg) $

        $ = \frac{- 30 + 3}{5} $

        $ = \frac{-27}{5} $

        $ = \frac{-25 - 2}{5} $

        $ = - 5 - \frac{2}{5} $

        $ = -5\frac{2}{5} $   is the required answer.

Tenth term of the sequence:

$ A(10) = - 6 + (10 - 1) \bigg( \frac{1}{5} \bigg) $

         $ = - 6 + 9\bigg( \frac{1}{5} \bigg) $

         $ = \frac{-30 + 9}{5} $

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         $ = \frac{-20 - 1}{5} $

         $ = - 4 - \frac{1}{5} $

         $ = -4\frac{1}{5} $  is the required answer.

       

       

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Step 3: Write that result (17) above the denominator. So,

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