Answer:
m∠JKP = 31.5°
Step-by-step explanation:
Incenter of a triangle is the point where all the bisectors of interior angles intersect each other.
JN is the angle bisector of ∠KJL.
Therefore, m∠KJN = m∠LJN
(7x - 6) = (5x + 4)
7x - 5x = 6 + 4
2x = 10
x = 5
m∠KJN = (7x - 6)
= 7(5) - 6
= 35 - 6
= 29°
In ΔKJN,
m∠JKN + m∠KNJ + m∠NJK = 180°
m∠JKN + 90° + 29° = 180°
m∠JKN = 180°- 119° = 61°
Since KO is the angle bisector of ∠JKN,
m∠JKP = 
= 
= 30.5°
Answer:
Step-by-step explanation:
Length = x+3
Width = x-1
Area = l*b
where l is the length of the bedroom
and b is the breadth or width of the bedroom
The polynomial can be written as:
Area=(x+3)(x-1)
Now we will find the area of the room when x=10
First we will find the values of length and width.
Length = x+3
Length = 10+3 = 13
Width = x-1
Width = 10-1=9
Now put the values in the formula:
Area=l*b
Area=13*9
Area = 117 square feet....
Common factor of 20= 1,2,4,5,10.......
common factor of 35=1,5,7.............
so here we find that 1 and 5 r the common factors
but the GCF of 20 and 35 is 5
so,
by using GCF the distributive property is : 5(4+7)
The method used to collect data for each scenario is observational study , secondary data , simulation .
<h3>What is Data Collection ?</h3>
The accumulation of data to perform research , experiment or any other study is called data collection
It is done by different methods.
While standing in front of the school, Jace recorded the number of students who walked, rode their bikes, took the bus, and were driven there. :
Because all feasible channels and techniques were investigated in order to get accurate data, this study is known as an observational study.
Noah conducted research to learn the data pertaining to the proportion of newborns having brown eyes. Since he didn't perform this directly, it is referred to as secondary data.
Lara repeatedly flipped two coins to see how many times two heads appeared because she knew she had a 25% chance of winning a contest. This is an example of simulation because she wanted to see if she would come up with the same outcome.
To know more about Data Collection
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