A line passes through (6,3)and has a slope of 1/3
1 answer:
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Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan A = =
=
, then
∠ A = (
) ≈ 41° ( to the nearest degree )
The sum of the angles in the triangle = 180° , then
∠ B + 41° + 90° = 180°
∠ B + 131° = 180° ( subtract 131° from both sides )
∠ B = 49°
Using Pythagoras' identity in the right triangle
AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )
AB = ≈ 10.6 ( to the nearest tenth )
We are going to do this step by step:
Let's start with option A
A.
X = 25 and Y = 5/2
In this case, when X = 25 , then Y = 10 ,which is different to 5/2
B.
X = 14 , Y = 35
In case, when X = 14, then Y = 28/5, which is different to 35
C.
X = 40 , Y = 24
Similarly, in this case, when X = 40, then Y = 16, which is different to 24
D.
X = 10 , Y=4
Now, in this case, we can see that when X = 10, then Y = 4 which is the same as the given value of Y
E.
X = 50 , Y = 20
In this case, the values of Y are also the same.
F.
X = 30 , Y = 12
Again, in this case, the values of Y are the same, so the pair satisfies the equation.
In conclusion: options D, E and F satisfy the equation