A transformation of a figure in which all of the dimensions of the figure are multiplied by the same scale factor is called a dilation.
Effect of Dilation on Perimeter
Whenever a figure is dilated by a scale factor, the perimeter of the figure changes according to the same scale factor.
Effect of Dilation on Area
When a figure is dilated by a scale factor of 
, the area of the figure is dilated by a scale factor of 
Example-
Lets imagine a rectangle with length 10 cm and width 8 cm
So area becomes = 10*8 = 80 square cm
Lets suppose the rectangle is reduced by a scale factor of 
to produce a new rectangle.
So we will find the square of scale factor = 
Now to find the area of the new rectangle(dilated one) we will multiply the area of the original rectangle by 1/4
= 
Hence, area becomes 20 square cm.
Answer:
μ < 550
Step-by-step explanation:
Let us take,
Null Hypothesis(H₀) : μ = 550
Alternative Hypothesis(H₁) : μ < 550
Now, The Z-statistic for mean is given by,
Here, n = 36, μ = 550, 
= 530, s = 78
Z = (530 - 550) ÷ √(78 / 36)
Z = -20 ÷ 1.47196
Z = -13.58732
Thus, Z-value = -13.587 with 35 degree of freedom.
and α = 0.01
The value of p is < .00001.
Since, the value of p is less than α.
The result is significant at p < .01.
Thus, we reject the null-hypothesis.
Hence, μ < 550
Answer:
135
Step-by-step explanation:
(7+3)^2 + (8-1) * 5
Parentheses first
(10)^2 + (7) * 5
Exponents next
100 + 7*5
Multiply
100 + 35
Add
135
2x+10= 3x+12-x
10-12=3x-x-2x
2= x
x=2
Answer:
25
Step-by-step explanation:
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