Answer: Two triangles have the same side lengths (Ex: both triangles have sides 3, 4, and 5 cm)
Step-by-step explanation:
1) This would guarantee similarity, but not necessarily that they are identical.
2) The angle has to be included between the two sides, which is not specifed.
3) This would work (SSS congruence)
4) It is not specified if the side is opposite the corresponding angles.
Answer:
2,30
Step-by-step explanation:
Answer:
For example, a common equation, y=mx+b y = m x + b
Step-by-step explanation:
is a linear function because it meets both criteria with x and y as variables and m and b as constants.
Answer:
10 hours
Step-by-step explanation:
(150/x) + 1.5 + (450/(x+15)) = 600/x
Multiply through by x(x + 15):
150(x + 15) + 1.5x(x + 15) + 450x = 600(x + 15)
150x + 2250 + 1.5x^2 + 22.5x + 450x = 600x + 9000
150x + 2250 + 1.5x^2 + 22.5x + 450x - 600x - 9000 = 0
1.5x^2 + 22.5x - 6750 = 0
x = (-22.5 +/- sqrt(22.5^2 - 4(1.5)(-6750))) / (2*1.5)
x = (-22.5 +/- sqrt(506.25 + 40500)) / 3
x = (-22.5 +/- sqrt(41006.25)) / 3
x = (-22.5 +/- 202.5) / 3
x = 180/3 or -225/3
x = 60 or -75
But a negative number doesn't make sense, so therefore x = 60, so the journey took 600/60 = 10 hours.
Answer:
Step-by-step explanation:
Let 
and 
. Now we evaluate the given function at 
:
(1)
Which means that 
is less than the y-component of A. Therefore, the right answer is .
