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Klio2033 [76]
2 years ago
8

The sum of the interior angles of a quadrilateral equals. 180 270 360 540

Mathematics
2 answers:
lys-0071 [83]2 years ago
7 0
The sum of the interior angles in any given quadrilateral is always going to be 360.

This means each angle inside the quadrilateral added up with always equal 360 degrees.

Hope this helps!
Brainliest is always appreciated if you feel its deserved! :)<span />
bezimeni [28]2 years ago
3 0

Answer:

The sum of the interior angles of a quadrilateral equals <u>_</u><u>360° </u>

C is correct.

Step-by-step explanation:

The sum of the interior angles of a quadrilateral equals ______

The quadrilateral has four sides and four angles.

First we draw a diagonal of quadrilateral and it makes two triangle.

Sum of angles of triangle is 180° (Angle sum property of triangle)

A quadrilateral form by two triangle

Sum of interior angle of quadrilateral = 180° + 180°

                                                              = 360°

The sum of the interior angles of a quadrilateral equals <u>_</u><u>360° </u>

We have a general formula sum of interior angles of polygon.

Sum of angles of polygon having n sides = (n-2)180°

For quadrilateral, n = 4

Sum of angles of quadrilateral = (4-2)180°

                                                   = 360°

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Need help asap important! thanks so much!
a_sh-v [17]

Answer:

You would have $343.37 at the end of the 2 years.

Step-by-step explanation:

Interest earned is like bonus money the bank pays you just for keeping money

\mathrm{Compund\:Interest\:Formula}:\quad A =  P {  \left( 1+ \dfrac{ r  }{ n  }    \right)    }^{ nt  }

P: the starting balance of the account (also called initial deposit, or principal)

A: the new balance in the account after N years.

t: the number of years or time

r: the interest rate, (in decimal form)

n: the number of times the interest is compounded each year.

Annually = each year = 1

P =$300, r = 7%, t = 2, n = 1, A = ?

Substitute the numbers into the "Compound Interest Formula".

A =  300 {  \left( 1+ \dfrac{ 0.07  }{ 1  }    \right)    }^{ 1 \times  2  }

\mathrm{Anything\:divided\:by\:1\:gives\:itself}

A =  300 {  \left( 1+0.07  \right)    }^{ 1 \times  2  }

\mathrm{Add\:1\:and\:0.07\:to\:get\:1.07}

A =  300 \times   { 1.07  }^{ 1 \times  2  }

\mathrm{Multiply\:1\:and\:2\:to\:get\:2}

A =  300 \times   { 1.07  }^{ 2  }

\mathrm{Calculate\:1.07\:to\:the\:power\:of\:2\:and\:get\:1.1449}

A =  300 \times  1.1449

\mathrm{Multiply\:300\:and\:1.1449\:to\:get\:343.47}

A =  343.47

So you would have $343.37 at the end of the 2 years.

Look at the chart

\mathrm{Year}\quad \mathrm{Year\: Interest}\quad \mathrm{Total\:Interest}\quad \mathrm{Balance}\\\quad1\quad\quad\quad $21.00\quad\quad\quad\quad $21.00\quad\quad\quad\quad $321.00\\\quad2\quad\quad\quad $22.47\quad\quad\quad\quad $43.47\quad\quad\quad\quad $343.47

8 0
2 years ago
The area of a rectangular garden is 5828 m
evablogger [386]

Answer:

The length of the garden is 94 m.

Step-by-step explanation:

you do 5828 m. divided by 62m. and that is how you get your answer of 94 m.

6 0
3 years ago
Read 2 more answers
Which region represents the solution to the given system of inequalities?
Phoenix [80]

Answer: The intersection region shown in the graph attached is the solution of the system of inequalities.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

 Given the following system of inequalities:

\left \{ {{x+3y\leq-3 } \atop {x\geq3 }} \right.

We need to graph the lines.

We have the line:

x+3y=-3

Solving for "y", we get:

3y=-x-3\\\\y=\frac{1}{3}x-1

Knowing that m=-\frac{1}{3} and b=-1, we can graph it.

Since the symbol is \leq, the line must be solid.

The other line is:

x=3

Since "x" only takes one value, we can identify that it is a vertical line, so we can graph it.

Since the symbol is \geq, the line must be solid.

We need to substitute a point that is not on the line, into each inequalities. Let's choose the point (0,0).

Then:

0+3(0)\leq-3\\\\0\leq-3

This is false, therefore, we must shade the half that does not contain this point.

0\geq 3

This is false, so we must shade the half that does not contain this point.

The intersection region of the solutions (Observe the graph attached) of the given inequalities is the solution of the system of inequalities.

8 0
3 years ago
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How long will it take for an investment to triple, if interest is compounded continuously at 4%?
Margaret [11]
3p=pe^tr,,3=e^0.04t ,,then use log to find t
3 0
2 years ago
A positive real number is 6 less than another. If the sum of the square of the two numbers is 38, then finds the numbers.
Serggg [28]

Answer:

There seems to be a typo error but still this has solution.

Let the number be = x

A positive real number is 6 less than another. Means the second will be (x+6)

The sum of the square of the two numbers is 38.

x^{2} +(x+6)^{2} =38  

=> x^{2} +36+12x+x^{2} =38

=> 2x^{2}+12x+36 =38

=> 2x^{2}+12x=2

=> 2x^{2}+12x-2=0

Taking out 2 common;

=> x^{2}+6x-1=0

Solving this quadratic equation, we get;

x=-3+\sqrt{10} and x=-3-\sqrt{10}

As positive number is needed, we have -3+\sqrt{10}

or x = \sqrt{10}-3

x = 0.162277

And other number is 6.162277.

6 0
3 years ago
Read 2 more answers
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