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ddd [48]
3 years ago
7

Work out the size of the interior angle of a regular 18-sided polygon.

Mathematics
1 answer:
qaws [65]3 years ago
4 0

Answer:

160°

Step-by-step explanation:

The formula below gives the measure of an interior angle of a regular polygon of n sides.

[(n - 2)180]/n

[(18 - 2)180]/18

16(10)

160

Answer: 160°

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<img src="https://tex.z-dn.net/?f=4x%20%7B%7D%5E%7B2%7D%20%20%2B%2020x%20%2B%2025" id="TexFormula1" title="4x {}^{2} + 20x + 25
BigorU [14]

\sf{\qquad\qquad\huge\underline{{\sf Answer}}}

Let's Solve ~

\qquad \sf  \dashrightarrow \: 4 {x}^{2}  + 20x + 25

\qquad \sf  \dashrightarrow \: 4 {x}^{2}  + 10x + 10x + 25

\qquad \sf  \dashrightarrow \: 2x(2x + 5) + 5(2x + 5)

\qquad \sf  \dashrightarrow \: (2x + 5) (2x + 5)

\qquad \sf  \dashrightarrow \: (2x + 5) {}^{2}

or

\sf{\qquad \sf  \dashrightarrow \: 4x² + 20x + 25 }

\sf{\qquad \sf  \dashrightarrow \: (2x)² + (2 \sdot 2x \sdot 5) + (5)²}

[ it's similar to expression - a² + 2ab + b² that is equal to (a + b)² ]

so, let's use this identity here to factorise :

\sf{\qquad \sf  \dashrightarrow \: (2x + 5)²}

I hope it was helpful ~

3 0
2 years ago
On a number line, what is the distance between -9 and -5?
Makovka662 [10]

Answer:

The distance on a number line between -9 and -5 would be 4. This is kinda easy.

Step-by-step explanation:

4 0
3 years ago
MATH PLEASE HELP!!!!!! ASAP
Vladimir [108]
56.3 I believe is the answer
6 0
3 years ago
Read 2 more answers
Does anybody know how to find the volume of. a prism. please help
olganol [36]
V = [1/2 x 5 x side x apothem] x height of the prism.
V=[ 1/2 x 5 x 7.1 x 5] x 15
V= 88.75 x 15
V= 1331.25
7 0
3 years ago
What is the slope of the line that passes through the points (-2, -1)
Lera25 [3.4K]

Plug this into the formula y2 - y1 / x2 - x1

-2 = x1, x2 = 2, y1 = -1, y2 = -3

-3 - (-1) / 2 - (-2)

-2 / 4

-1/2

The slope is -1/2.

4 0
3 years ago
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