You have to build an equation to find the answer,
angles in a straight line add upto 180°
so your equation would be,
12x+30°=180°
-30 -30
=12x=150°
÷12 ÷12
=x=12.5°
now find the measures of the angles by using 12.5 as x.
angle EAF= 2x
=2×12.5
=25° degrees
angle DAE= 4x
=4×12.5
=50°degrees
angle CAD=6x
=6×12.5
=75°degrees
check,
30+25+50+75=180°degrees
hope this helps.......
Answer:
33
Step-by-step explanation:
7x3=21
4x3=12
21+12=33
The coordinate of point D will be ( -0.5, 0.25 ).
<h3>
What is coordinate geometry?</h3>
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that point, D is 1/n of the way from C(−2.5, 1.25) to E(5, 15), and the value of n = 5.
The coordinates of point D will be:-
D = ( 1 / n ) C
D = ( 1 / n ) ( -2.5 , 1.25 )
D = ( 1 / 5 ) ( -2.5 , 1.25 )
D = ( -0.5 , 0.25 )
Therefore, the coordinate of point D will be ( -0.5, 0.25 ).
To know more about Coordinate geometry follow
brainly.com/question/18269861
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In a word problem, you need
to be able to interpret words
into mathematical symbols or algebraic expressions, focusing on keywords that specify the mathematical procedures required to
solve the problem with both the operation and the order of the expression. Here
are some examples of verbal phrase for subtraction.
<span>Deduct,
decrease by, difference, left over, less than, minus, reduce, remains, remove, subtract
and take away.</span>
Answer:
Cannot create sample
Step-by-step explanation:
We are given the following in the question:
4, -2, -6, 19, 6
Formula:
where 
are data points, 
is the mean and n is the number of observations.
Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 = 364.8
If we add an observation equal to the mean of given sample, then the mean and of new sample will not change.
New sample:
4, -2, -6, 19, 6, 4.2
Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 + 0 = 364.8
Thus, the variance of new sample changes.
Thus, it is not possible to create a sample.
