the sum of supplementary angles is 180 degree
therefore
x +2x = 180°
3x = 180
X = 180/3 = 60°
the value of X is 60°
Answer: A. 1.2
Step-by-step explanation:
Given : Sample size : n= 64
Standard deviation: 
The formula to find the standard error of mean is given by :-
Therefore, the standard error of the mean= 1.2
Hence, A is the right option.
Answer:
(A) 
(b) 
(c)
(d) 
Step-by-step explanation:
We have given expression and we have to simplify the expression using exponent property
(A) 
So 
(b) 
So 
(c) 
So 
(d) 
Answer:
(3,4)
Step-by-step explanation:
The amount of steps applied from the reflection line to the point would be also applied inversely to the image point (after reflection).
From y=x to (4,3), it goes 1 down and also goes 1 right. (NOTE: It does not go down and right. Instead, it goes <em>either</em> down and right)
So now inverse that to make 1 up and also going 1 left.
Given that the triangle is dilated by factor 3, the image will be found as follows;
The object is at:
A(-7,-3), B(-3,-2), C(-4,-5)
when the image was enlarged the new coordinates will be:
A'=3(-7,-3)=(-21,-9)
B'=3(-3,-2)=(-9,-6)
C'=3(-4,-5)=(-12,-15)
since the image is centered at the point (-7,-6), the final point will be at:
A"=[(-21+-7),(-9+-6)=(-28,-15)
B''=[(-9+-7),(-6+-6)]=(-16,-12)
C''=[(-12+-7),(-15+-6)]=(-19,-17)
thus the coordinates of the final image are:
A''(-28,-15),B''(-16,-12),C''(-19,-17)
