So, since the polygons are similar, they will share a scale factor.
The dilation is a reduction.
SF= preimage/image
SF=48/40
SF= 1.2
To find the value of x, multiply 20 by 1.2, so:
20(1.2)=24
Thus, x = 24
Now, to check if the sides are proportional (this will determine if the polygons are, in fact, similar.)
24/20=1.2
48/40=1.2
BTW, the missing side measure for the image is 40 since 48 is its corresponding side, and 48/1.2 (SF) is 40.
Hence, we have 48/40= 1.2
<span>ʕ •ᴥ•ʔ</span>
Answer:
V₂ = 252 cm³
Step-by-step explanation:
Charles's law = If the pressure is held constant, the volume of a gas varies directly with the temperature measured on the Kelvin scale.
Mathematically, 

We have, V₁ = 192 cm³, T₁ = 112 K, T₂ = 147 cm³, V₂ = ?
Using the above relation of Charles's law :

So, the new temperature is 252 cm³.
Answer:
35.) 80
36.) 11
37.) 15
38.) 21
39.) -9
40.) -1
Step-by-step explanation:
In simplified terms the question is asking
35.) g(f(-1)) =
g(-9) = 80
36.) f(g(2)) =
f(3) = 11
37.) g(f(0)) =
g(-4) = 15
38.) f(g(root6)) =
f(5) = 21
39.) f(g(0)) =
f(-1) = -9
40.) g(f(4/5)) =
g(0) = -1
<h3>
Answer: Choice C) line n</h3>
Explanation:
Tangent lines touch the circle at exactly one point.
Triangle RST has vertices:
R(-4,2)
S(3,5)
T(-4,-4)
Then, the triangle is moving to the left you subtract the number of units from the x coordinates of each vertex of the triangle.
And the triangle is moving down, you subtract the number of units moved down from the y coordinates of each vertex. So:
For R'

For S'

For T'

Answer: