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2 years ago

Find the interior angle sum for each polygon.

Mathematics

2 answers:

STatiana [176]2 years ago

4 0

Try the third option, 1620

aliina [53]2 years ago

4 0

Answer:

720°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

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Solve by elimination <br>x+y= 0 <br>2x-y= 12

dezoksy [38]

Answer:

m=2

Step-by-step explanation:

I calculated it sorry

5 0

3 years ago

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Consider the absolute value function f(x)=-|x+2|-2 The vertex of the function is

Black_prince [1.1K]

(-2,-2)

Since it has a negative in front of the absolute value, the graph is a downward cone.

3 0

3 years ago

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Use the Pythagorean Theorem to find an approximate value of x

kozerog [31]

Answer:

Step-by-step explanation:

Hypotenuse² =base² + altitude²

(3x + 4)² = (2x + 1)² + (3x)²

{Use (a+b)² = a² + 2ab + b²}

(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²

9x² + 24x + 16 = 4x² + 4x + 1 + 9x²

9x² + 24x + 16 = 13x² + 4x + 1

0 = 13x² + 4x + 1 - 9x² - 24x - 16

13x² - 9x² + 4x - 24x +1 - 16 = 0

4x² - 20x - 15 = 0

a = 4 ; b =-20 ; c = -15

D = b² - 4ac = (-20)² - 4*4*(-15) = 400 + 240 = 640

√D = √640 = 25.30

$x=\dfrac{-b+\sqrt{D}}{2a} \ ; \ x=\dfrac{-b-\sqrt{D}}{2a}\\\\\\x=\dfrac{20+25.30}{2*4} \ ; \ x=\dfrac{20-25.30}{2*4}\\\\\\x=\dfrac{45.30}{8} \ ; \ x =\dfrac{-5.30}{8}\\\\$

x = 5 .66 ; x = -0.66

Ignore x = -0.66 as length of a side cannot be negative

Answer : x = 5.66

7 0

2 years ago

<img src="https://tex.z-dn.net/?f=2x%5E2%2B5x%2B3%3D0" id="TexFormula1" title="2x^2+5x+3=0" alt="2x^2+5x+3=0" align="absmiddle"

melamori03 [73]

Answer:

$x=-\frac{3}{2},-1$

Step-by-step explanation:

$2x^2+5x+3=0$

Split the second term (5x) into two terms. Multiply the coefficient of the first term (2) by the constant term (3):

$2*3=6$

Find which two numbers add up to 5 and multiply into 6:

$3+2=5\\3*2=6\\3,2$

Split 5x as the sum of 3x and 2x:

$2x^2+3x+2x+3$

Now factor out a common term for the first 2 terms:

$2x^2+3x\\x(2x+3)$

And do the same for the last 2 terms:

$2x+3\\1(2x+3)$

Re-insert:

$x(2x+3)+1(2x+3)=0$

Factor out the common term 2x+3 and insert the values in front of the parentheses (x and 1):

$(2x+3)(x+1)=0$

Separate the parentheses and equal them to 0. Solve for x:

$2x+3=0\\2x+3-3=0-3\\2x=-3\\\\\frac{2x}{2}=\frac{-3}{2}\\\\ x=-\frac{3}{2}$

and

$x+1=0\\x+1-1=0-1\\x=-1$

5 0

3 years ago

Choose Yes or No to tell whether the Addition Property of Inequality can be used to solve each statement. w – 4 > –10 12 ≥ 20

Alex

Answer:

Step-by-step explanation:

The inequality will not be the same if the same amount is added both sides.

The addition property states that if the same quantity is added to both sides, then the inequality still remains true. Take for example:

let x, y, and z be real numbers. It follows that:

if x ≥ y, then x + z ≥ y + z

This holds true for whatever value of z

If x ≤ y, then x + z ≤ y + z

The inequality remains true.

4 0

3 years ago