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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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What is the best estimate of the area of the lake pictured on the grid if each square has a side length of 400 meters?

evablogger [386]

Answer: 4,840,000 square meters

Step-by-step explanation:

Each square has an area of (400m)^2 or 160,000 m^2 each square.

There are 390 squares, so:

(30 squares)*(160,000 m^2/square) = 4,800,000 m^2

4,840,000 square meters comes closest

7 0

2 years ago

when price of indomie noodles was lowered from #50 to #40 per unit, quantity demanded increases from 400 to 600 units per week.

Nataly [62]

Answer:

The price elasticity of demand is -10

Step-by-step explanation:

Given

$p_1,p_2 = 50,40$

$q_1,q_2 = 400,500$

Solving (a): The coefficient of price elasticity of demand (k)

This is calculated as:

$k = \frac{\triangle q}{\triangle p}$

So, we have:

$k = \frac{500 - 400}{40 - 50}$

$k = \frac{100}{-10}$

$k = -10$

<em>Because |k| > 0, then we can conclude that the company made a wise decision.</em>

7 0

3 years ago

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nekit [7.7K]

Answer:

Step-by-step explanation:

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That simplifies to x^2 - 7x + 12

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3 years ago

Plz help and Thank you :/

marin [14]

Answer:

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Step-by-step explanation:

8 0

3 years ago

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galben [10]

Answer:

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Step-by-step explanation:

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3 years ago

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