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3 years ago

Find the value of x. Polygon angle sums

Mathematics

2 answers:

pav-90 [236]3 years ago

6 0

Answer:

x = 50

Step-by-step explanation:

In a polygon, the angles add up to 360°:

x + 10 + 2x + 3x + x = 360

7x + 10 = 360

7x = 350

x = 50

wariber [46]3 years ago

4 0

Answer:

x = 50

Step-by-step explanation:

There are 4 angles, making it a Quadrilateral. A Quadrilateral has a ∑m∠ of 360°.

Set each angle equal to 360°:

2x + 3x + x + x + 10 = 360

Simplify. Combine like terms:

(2x + 3x + x + x) + 10 = 360

7x + 10 = 360

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents

Roots

Multiplication

Division

Addition

Subtraction

First, subtract 10 from both sides:

7x + 10 (-10) = 360 (-10)

7x = 360 - 10

7x = 350

Next, divide 7 from both sides:

(7x)/7 = (350)/7

x = 350/7

x = 50

50 is your value for x.

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Step-by-step explanation:

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2 years ago

The sum of two consecutive integers is -133 find the integers

Bess [88]

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3 years ago

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2 years ago

Evaluate: <img src="https://tex.z-dn.net/?f=%5Csqrt%5B-3%5D%7B27%7D" id="TexFormula1" title="\sqrt[-3]{27}" alt="\sqrt[-3]{27}"

GenaCL600 [577]

Answer:

1/3 is the simplified form for given expression.

Step-by-step explanation:

Given that:

= $\sqrt[-3]{27}$

By simplifying:

Radical sign will be removed as follows:

= $27^{-1/3}$

For removing the "-" sign from power, base will be inverted:

= $(1/27) ^ {1/3}$

27 can also be written as 3 * 3 * 3 = 3^3

So,

= $(1/3^3)^{1/3}$

= $1^{1/3} / 3^{3* 1/3}$

By simplifying we get:

= 1/3

i hope it will help you!

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3 years ago