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Aleksandr-060686 [28]
2 years ago
5

Find the measure of each interior angle

Mathematics
1 answer:
diamong [38]2 years ago
3 0
\bf \textit{sum of all interior angles of a polygon}\\\\
180(n-2)\quad 
\begin{cases}
n=\textit{number of sides}\\
---------\\
n=10
\end{cases}\implies 180(10-2)\implies 1440\\\\
-------------------------------\\\\
\begin{array}{lclll}
&x + 5\\&x + 10\\&x + 20\\&x + 30\\&x + 35\\&x + 40\\&x + 60\\&x + 70\\&x + 80\\+&x + 90\\
&----\\
&10x+440
\end{array}\implies 
\begin{array}{llll}
10x+440=1440
\\\\\\
10x=1000
\\\\\\
x=\cfrac{1000}{10}\implies x=100
\end{array}

so.. to get every angle, simply plug in 10 for "x" for each.
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3 years ago
A group of 570 students were surveyed about the courses they were taking at their college with the following results:
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Answer:

The number of students who took English and History, but not Math is 143.

Step-by-step explanation:

Denote the subject choices as follows:

<em>M</em> = a students was taking Math

<em>E</em> = a students was taking English

<em>H</em> = a students was taking History

The data provided is as follows:

N (M) = 257

N (E) = 282

N (H) = 323

n (M ∩ E) = 154

n (M ∩ H) = 171

n (E ∩ H) = 143

n (M ∩ E ∩ H) = 80

Consider the Venn diagram below.

From the provided data and the Venn diagram the value of the set E and H minus M is 143.

Thus, the number of students who took English and History, but not Math is 143.

7 0
2 years ago
Kelly spends $59.00 on items for a party. She buys thank you cards that cost $5.00 (including tax). She also buys gift bags that
Brrunno [24]

Answer:

she bought 5 cards, which equals to $54

and then she bought 1 card

Step-by-step explanation:

4 0
3 years ago
How is the binary system similar to the decimal system?
inessss [21]

What is meant binary number?

Binary number system, in mathematics, positional numeral system employing 2 as the base and so requiring only two different symbols for its digits, 0 and 1, instead of the usual 10 different symbols needed in the decimal system.

What is decimal in number system?

  • A number system which uses digits from 0 to 9 to represent a number with base 10 is the decimal system number.
  • The number is expressed in base-10 where each value is denoted by 0 or first nine positive integers.
  • Each value in this number system has the place value of power 10.

Similarities between binary and decimal systems -

  • Arithmetic operations can be carried out on numbers in both the binary ands decimal systems
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  • Integer and fraction components are represented in both decimal and binary systems.

Learn more about decimal systems

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3 0
1 year ago
John often speed while driving to school in order to arrive on time. The probability that he will speed to school is 0.75. If th
BartSMP [9]

Answer:

0.33

Step-by-step explanation:

Given the following :

P(speeding) = p(s) = 0.75

P(being stopped) = p(t)

P(speeding and gets stopped) = p(s n t) = 0.25

Find the probability that he is stopped, given that he is speeding is written as P(t | s) ;

P(t | s) = p(s n t) / p(s)

P(s n t) = 0.25

P(s) = 0.75

Hence,

P(t | s) = 0.25 / 0.75

P(t | s) = 0.33

3 0
3 years ago
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