Answer:
ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.
Step-by-step explanation:
It is given that the triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4.
If a figure is dilated then preimage and image are similar.
If scale factor is between 0 to 1, then preimage is reduction of image.
If scale factor is more that 1, then preimage is enlargement of image.
If scale factor is 1, then preimage is congruent to the image.
We know that

So,

Therefore, the ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.
x in terms of b:
-2(bx - 5) = 16
-2bx + 10 = 16
-2bx = 6
x = 6 / -2b
x = -3/b
--------------------------------
when b = 3 then
-2(3x - 5) = 16
-6x + 10 = 16
-6x = 6
x = -1
Answer
The value of x in terms of b is -3/b
The value of x when b is 3 is -1
Answer:
100 Joules
Step-by-step explanation:
We use the definition of Work as the force applied multiplied by the distance the object was moved. In our case the force exerted is 50 N, over a distance of 2 meters, therefore:
Work = F * d = 50 N * 2 m = 100 N*m = 100 Joules
The SI unit for Newton times meter is called "Joule".
Answer:
The total income of designer from this work is $1649.6.
Step-by-step explanation:
The fees charged by the designer = $1600
The commission on total sales = 8%
Total sales amount in the festival = $620
Now, 8% of $620 = 
So, the commission on total sales = $49.6
Also, Total Income of the designer = Deign Fee + 8% Commission fee
= $1600 + $49.6
= $1649.6
Hence, the total income of designer from this work is $1649.6.