All categories

3 years ago

the sum of the interior angles of the polygon is 20 right angles. how many sides does the polygon have?

1 answer:

7 0

We have a polygon whose the sum of interior angles is 20 right angles (the measurement of each right angle is 90°), that means
the sum = 20 × 90°
the sum = 1800°

The sum of interior angles on any polygon could be determined using formula
sum = (n - 2) × 180°
n stands for the number of sides the polygon has

sum = (n - 2) × 180°
1800° = (n - 2) × 180°
1800°/180° = n - 2
10 = n - 2
n = 12

The polygon has 12 sides

You might be interested in

The shadows of two vertical poles were measured at the same time to be 6m and 15m long. If the first pole is 8cm long, find the

son4ous [18]

Answer:

20 cm

Step-by-step explanation:

Shadow of vertical poles : 6m ; 15m

Length of poles : 8cm ; h

8cm long pole = shadow length, 6m

h cm long pole = shadow length, 15 m

Using cross multiplication :

8cm * 15 m = h cm * 6m

120 = 6h

h = 120 / 6

h = 20 cm

Height of second pole = 20cm

8 0

3 years ago

Solve the system of linear equations y= 2x -3Y= x + 6

Alja [10]

Answer:

x=9, y=15. (9, 15).

Step-by-step explanation:

y=2x-3

y=x+6

----------

2x-3=x+6

2x-x-3=6

x-3=6

x=6+3

x=9

y=9+6=15

7 0

2 years ago

Finish the polynomial by adding one number to make it a perfect square<br><br> x^2+18x+

dsp73

Answer:

Step-by-step explanation:

${x}^{2} + 18x + {(( \frac{1}{2})(18)) }^{2}$

${x}^{2} + 18x + {9}^{2}$

${x}^{2} + 18x + 81$

${(x + 9)}^{2}$

6 0

2 years ago

I WILL MARK YOU THE HIGHEST IF RIGHT!!!! NEED HELP ASAP (CANT GET THIS ONE RIGHT.

vitfil [10]

The correct answer is: [A]: " 2" .
_______________________________________________________
Explanation:
_______________________________________________________

5x - 4 = 3x ;

Subtract "3x" from each side of the equation;

5x - 4 - 3x = 3x - 3x ;

2x - 4 = 0 ;

Add "4" to each side of the equation;

2x - 4 + 4 = 0 + 4 ;

2x = 4 ;

Divide each side of the equation by "2" :

2x / 2 = 4 / 2 ;

x = 2 ; which is: "Answer choice: [A]: " 2" .
____________________________________________________

3 0

3 years ago

Given that α and β are the roots of the quadratic equation <img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B6x-7%3Dp" id="Tex

siniylev [52]

Answer:

$\large \boxed{\sf \ \ \ p=-11 \ \ \ }$

Step-by-step explanation:

Hello,

$\alpha \text{ and } \beta \text{ are the roots of the following equation}$

$2x^2+6x-7=p$

It means that

$2\alpha^2+6\alpha-7=p \\\\2\beta ^2+6\beta -7=p \\\\$

And we know that

$\alpha= 2\cdot \beta$

So we got two equations

$2(2\beta)^2+6\cdot 2 \cdot \beta -7=p \\\\8\beta^2+12\beta -7=p\\\\ and \ 2\beta ^2+6\beta -7=p \ So \\\\\\8\beta^2+12\beta -7 = 2\beta ^2+6\beta -7\\\\6\beta^2+6\beta =0\\\\\beta(\beta+1)=0\\\\ \beta =0 \ or \ \beta=-1$