Answer: AB will be parallel to A'B'.
Step-by-step explanation: We know the definition of dilation about the centre. It is defined as the enlargement or shrinken of the original figure keeping the centre of dilation or the figure as fixed.
We are given ΔUVW and AB is perpendicular to UW. Now, if we dilate the triangle about the origin, then the triangle will either enlarge or shrink keeping the centre fixed.
Let us consider the enlarged triangle, ΔU'V'W' as shown in the attached figure. Also, line AB will move to the new position A'B'. We can clearly see that both the lines are parallel to each other.
Thus, the line segments AB and A'B' will be parallel too each other.
Answer:
Step-by-step explanation:
2/3 cup is 1/4 of recipe to total, then X would be 4/4 of the recipe.
2/3 X
------ = --------
1/4 1
Cross multiply and you get x/4 = 2/3, simplfy to 3x=8, divide by 3 and you get 8/3 of a cup for the whole recipe. 8/3 is the same as 2 and 2/3 cup
Answer:
center of mass = ( 1 ,2 )
Step-by-step explanation:
attached below is the detailed solution of the problem
first we have to determine the value of m
M = ∫∫ dA
= 6
Mx = 12
attached solution below
My = 6
hence center of mass of a thin plate
x , y
= My/m , Mx/m
= 6/6 , 12/6
= ( 1, 2 )