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4 years ago

Find the value of x. Polygon angle sums

Mathematics

2 answers:

pav-90 [236]4 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]4 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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Answer:

Part 1) The y-intercept is the point (0,-3)

Part 2) The slope in fraction form is $m=-\frac{2}{1}$

Part 3) The graph in the attached figure

Step-by-step explanation:

we have

$y=-2x-3$

Part 1) What is the y-intercept?

Remember that

The y-intercept is the value of y when the value of x is equal to zero

For x=0

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In fraction form is

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The slope is negative, that means, is a decreasing function (as the x-values increases the y-values decreases)

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The slope is -2, so you will rise -2 (2 units down) and run 1 (1 unit to the right).

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