Answer:
13x+2+5x-7+3x-4=180
13x+5x+3x=180-2+7+4
21x/21=189/21
X=9
Please put the degrees sign there
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
First, add all the numbers together
23 + 24 + 27 + 25 + 26 + 23 + 21+ 32 + 29 + 30= 260
Then divide by the number of terms there are, in this case 10
260/10= 26
Answer:
The n th of the given sequence is 
Step-by-step explanation:
<u>Step 1</u> :-
Given sequence is 20,14,8,2,.......this sequence in arithmetic progression but this sequence is decreasing sequence.
given first term is 20 and difference is
now the nth term of given sequence is
by using formula 


final answer:-

<u>verification</u>:-

put n=1 we get first term is 20
put n=2 we get second term is 14
put n=3 we get third term is 8
put n=4 we get fourth term is 2
so the n th term of sequence is

The distance between the two points is 
The polar coordinate of A is 
The polar coordinate of B is 
Explanation:
The two points are
and 
The distance between two points is given by,

Thus, the distance between the two points is 
The polar coordinates of A can be written as 
Distance = 
Substituting
, we get,
Distance = 

To make the angle positive, let us add 360,

The polar coordinate of A is 
Similarly, The polar coordinate of B can be written as 
Distance = 
Substituting
, we get,
Distance = 

To make the angle positive, let us add 360,

The polar coordinate of B is 
Answer:(c)
Step-by-step explanation:
Given : In a hypothesis testing the null hypothesis has been rejected when the alternative hypothesis has been true.
Find : to find that the given decision is create type I error , type II error or right decision has been taken
Step by step :
In hypothesis testing there are 2 types of error.
(1)Type I error :- if the null hypothesis is rejected when it is true, is known has Type I error .
(2)Type II error:- if the null hypothesis is accepted when alternative hypothesis is true, is known as type II error.
Since here null hypothesis has been rejected when alternative hypothesis has been true,i.e., the correct decision has been made
Hence option (c) is correct.