Answer: 10.00
Step-by-step explanation:
You had to multiply and divide and see what you get.
Given:
A figure of dilation and the center of dilation is O.
To find:
The value of y.
Solution:
The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).



Where, k is the scale factor or constant of proportionality.
So, the scale factor for the given dilation is



We know that,




Divide both sides by 9.



Therefore, the value of y is 12.
Answer: Answer is B
Step-by-step explanation:
A circle is 360°.
Add the known angle measures and subtract the total from 360°.
115+105+60 =280°
360 - 280 = 80°
X= 80°
This is the theory of algebra, to simply the expression we proceed as follows;
[sqrt(x-2)+5/sqrt(x-2)]/(x-2)
simplifying the numerator we get:
sqrt(x-2)+5/sqrt(x-2)
=[x-2+5]/sqrt(x-2)
=(x+3)/sqrt(x-2)
therefore our entire expression will be:
[(x+3)/sqrt(x-2)]/(x-2)
[(x+3)/(x-2)^(1/2)]*1/(x-2)
applying the law if indices we get
=(x+3)/(x-2)^(3/2)