Answer: The required scale factor of the dilation is 4.
Step-by-step explanation: Given that the parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.
We are to find the scale factor of the dilation.
From the graph, we note that
JH = 2 units and J'H' = 8 units.
We know that
Therefore, the scale factor of the given dilation is
Thus, the required scale factor of the dilation is 4.
Answer:
The number x = 3
Step-by-step explanation:
Let 'x ' be the positive integer
Given data If the sum of five times a number and two times the same number and the same number is increased by 4 and the result is 25
sum of five times a number is 5 x and same number two times is 2 x and increased by 4 (addition) then result is equal to 25
so finally 5 x +2 x +4 = 25
7 x + 4 = 25
subtracting '4' on both sides , we get
7 x = 21
dividing '7' on both sides, we get
Therefore the number is x = 3
<u>Verification :</u>-
5 x +2 x +4 = 25
substitute x = 3 in above equation
15+6+4 = 25
25 =25
<u>Final answer</u> :-
The number is 3