Answer:
Step-by-step explanation:
∠A = arctan(33/43) ≈ 37.5°
AB = √(43² + 33²) = √2938
Law of Sines
∠C = arcsin(sinA ⋅ AB/BC) ≈ 34.7°
Keywords:
<em>lines, plane, parallel
</em>
For this case we have five lines in a plane, and they ask us to find which of the four remaining lines is parallel to the line "r". We know that, by definition, two lines are parallel when they meet in the same plane, they maintain a certain distance between them, that is, if both prologue to infinity, they never intersect. Thus, the line parallel to line "r" must be line "s".
Answer:
The line parallel to the line "r" is the line "s"
i think more angles than sides
1. Let the first integer be represented by: 2k
the second integer by: 2(k+1)
the third integer by: 2(k+2)
and the fourth by: 2(k+3)
Then, 2k + 2(k+2) = 2(k+3) - 6
2k + 2k + 4 = 2k + 6 - 6
4k + 4 = 2k
4 = -2k
-2 = k
Answer: -4, -2, 0, 2
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2. Let the first integer be represented by: 2k+1
the second integer by: 2k+3
the third integer by: 2k+5
and the fourth by: 2k+7
Then, 2k+7 = (2k+1) + (2k+3) + (2k+5) + 2
2k + 7 = 6k + 11
-4 = 4k
-1 = k
Answer: -1, 1, 3, 5
