To find slope use the formula M = y2 - y1
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x2 - y1
say you were given this (2,3) (-4,5) 2 would be x1 and 3 would be y1, -4 would be x2 and 5 would be y2 then just put it into the formula 5 - 3
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-4 - 2
which would be 2/ -6 which would simplify to 1/3
If triangle abc is similar to def
That means all angles are the same and sides will be multiplied by some factor x. So AB(x)= DE
8x=24
Therefore x =3
Now BC=EF/x
BC=42/3
BC= 14
Answer:im not sure sorry
Step-by-step explanation:
Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
- c = 16 miles
- b = 8 miles
- a = 12 miles
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
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Therefore, the angle between their paths is <em>100.8°</em>
Answer:
The y’s are the numbers in the right (the second ones) -2,6.
Step-by-step explanation: