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lions [1.4K]
3 years ago
7

An interior angle of a regular polygon measures 170 degrees. How many sides does it have?

Mathematics
1 answer:
Leya [2.2K]3 years ago
7 0

\bf \textit{sum of all interior angles in a polygon}\\\\ n\theta =180(n-2)~~ \begin{cases} n= \stackrel{number~of}{sides}\\ \theta =\stackrel{angle~in}{degrees}\\[-0.5em] \hrulefill\\ \theta =170 \end{cases}\implies n170=180(n-2) \\\\\\ 170n=180n-360\implies 170n+360=180n\implies 360=10n \\\\\\ \cfrac{360}{10}=n\implies 36=n

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In a class 5/8 of pupils are boys.If 15 girls are in that class how many boys are there​
Kobotan [32]

Answer:

25

Step-by-step explanation:

If 5/8 are boys then

1 - 5/8 = girls

3/8 = girls

3/8 of the total are girls

Let x = total

3/8 ( x) = 15

8/3 * 3/8 * x = 15 * 8/3

x = 40

There are 40 total students

5/8 are boys

5/8 * 40

25 are boys

5 0
3 years ago
Solve the system of equations.<br> 2.5y + 3x = 27<br> 5x – 2.5y = 5
worty [1.4K]
X=4 and y=6
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3 0
3 years ago
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Ksju [112]

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8 0
3 years ago
Given MO is perpendicular to NP and NO is congruent to PO prove MN is congruent to MP
VladimirAG [237]
Lets imagine the shape 
M
  /\
  / | \
  / | \
  / | \
  P /___ |___\ N
  O
 Now in If we take â†MOP and â†MON
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 NO=NP (given)
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8 0
4 years ago
# 15. Q. Find the area of the trapezoid
harina [27]
Answer:
219.96 yd²

Explanation:
The area of the trapezoid can be calculated using the following rule:
Area of trapezoid = \frac{b1 + b2}{2} * h
where:
b1 is the length of the first base
b2 is the length of the second base
h is the height

Now, in the given we have:
b1 = 15.8 yd
b2 = 21.8 yd
h = 11.7 yd

Substitute with the givens in the above equation to get the area as follows:
area = \frac{15.8 + 21.8}{2}  * 11.7 = 219.96 yd^2

Hope this helps :)
7 0
3 years ago
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