G=(4,2), G'=(8,4)
G'/G=((8/4),(4/2))
G'/G=2
The dilation scale factor is 2, so all lengths will be doubled.
Original distance from G to H: ((8-4)^2+(4-2)^2)^(1/2)
=(4^2+2^2)^(1/2)
=(20)^(1/2)
New distance=2((20)^(1/2))
Original x distance=G+4
Original y distance=G+2
New x distance=G'+8
New y distance=G'+4
x=8+8
y=4+4
H'=(16,8)
Answer:
B.
Explanation:
Because the study is relying on the effects of violent video games and how it affects anti-social behavior.
If this was a math problem it'd be:
---> y= effect and signs of anti social behavior.
---> x= violent video games.
--->5= Hours spent playing. (Lets use 5 as a random number to write this as an equation then.)
Equation form:
Most likely would look something like this
(5x=y)
Hope this helped. I know it's late but it came up on my "Selected for you" section so I decided I'd answer it.
Answer:
m<EFG = 72°
m<GFH = 108°
Step-by-step explanation:
m<EFG = 2n + 16
m<GFH = 3n + 24
Linear pairs are supplementary, therefore,
m<EFG + m<GFH = 180°
Substitute
2n + 16 + 3n + 24 = 180
Add like terms
5n + 40 = 180
5n + 40 - 40 = 180 - 40 (subtraction property of equality)
5n = 140
5n/5 = 140/5 (division property of equality)
n = 28
✔️m<EFG = 2n + 16
Plug in the value of n
m<EFG = 2(28) + 16 = 72°
✔️m<GFH = 3n + 24
Plug in the value of n
m<GFH = 3(28) + 24 = 108°
It would equal a even number
Answer:
0
1
Step-by-step explanation:
First question:
You are given a side, a, and its opposite angle, A. You are also given side b. Use that in the law of sines and solve for the other angle, B.
The sine function can never equal 2, so there is no triangle in this case.
Answer: no triangle
Second question:
You are given a side, b, and its opposite angle, B. You are also given side c. Use that in the law of sines and solve for the other angle, C.
One triangle exists for sure. Now we see if there is a second one.
Now we look at the supplement of angle C.
m<C = 52.5°
supplement of angle C: m<C' = 180° - 52.5° = 127.5°
We add the measures of angles B and the supplement of angle C:
m<B + m<C' = 63° + 127.5° = 190.5°
Since the sum of the measures of these two angles is already more than 180°, the supplement of angle C cannot be an angle of the triangle.
Answer: one triangle
