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2 years ago

Find the value of X

Mathematics

1 answer:

kap26 [50]2 years ago

7 0

Answer:

x = 27

Step-by-step explanation:

We can say that sum of all interior angles adds up to: 180°, therefore;

(3x - 17) + (2x - 5) + (x + 40) = 180°

=> now add like terms together:

=> 3x + 2x + x = 6x

=> -17 + (-5) + 40 = 18

Therefore;

6x + 18 = 180°

6x = 180 - 18

6x = 162

x = 162/6

x = 27

Hope this helps!

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2 years ago

Write an expression that is equivalont to 4(5+2)-3h,

zhuklara [117]

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Step-by-step explanation:

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2 years ago

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snow_lady [41]

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2 years ago

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liberstina [14]

Answer:

Step-by-step explanation:

abc = 1

We have to prove that,

$\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1$

We take left hand side of the given equation and solve it,

$\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}$

Since, abc = 1,

$\frac{1}{c}=ab$ and c = $\frac{1}{ab}$

By substituting these values in the expression,

$\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}=\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+ab}+\frac{1}{1+\frac{1}{ab}+\frac{1}{a}}$

$=\frac{b}{b+ab+1}+\frac{1}{1+b+ab}+\frac{ab}{ab+1+b}$

$=\frac{1+b+ab}{1+b+ab}$

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Which equal to the right hand side of the equation.

Hence, $\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1$

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2 years ago

Find the distance between the points ( – 9, – 4) and ( – 4,8).

Dmitriy789 [7]

Answer:

$Distance=13\ units$

Step-by-step explanation:

Distance between two points: Distance between two pints $(x_1,y_1)\ and\ (x_2,y_2)$ is given by

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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2 years ago