Solve the inequality. 3x + 7 > 4x + 2
2 answers:
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Answers:
- Shortest Length = LN
- Middle Length = LM
- Longest Length = MN
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Explanation:
Let's find the missing angle.
For any triangle, the three interior angles always add to 180
L+M+N = 180
75+50+N = 180
N+125 = 180
N = 180-125
N = 55
So we know the three angles of the triangle are
- L = 75
- M = 50
- N = 55
We see that M = 50 is the smallest angle, so the smallest side is the segment opposite this angle. The smallest side is LN. The smallest side is always opposite the smallest angle.
Similarly, the largest side is always opposite the largest angle. The largest angle here is L = 75, so the largest side is MN.
The middle side must therefore be LM.
The diagram below shows a visual summary.
<h3>Answer with explanation:</h3>
It is given that:
Circle 1 has center (−4, −7) and a radius of 12 cm.
Circle 2 has center (3, 4) and a radius of 15 cm.
Two circles are said to be similar if by some translation and dilation it could be placed over the other to form the same circle.
The circles are similar because the transformation rule ( x,y ) → (x+7,y+11) can be applied to Circle 1 and then dilate it using a scale factor of 5/4
( Since, as the center of circle 1 is (-4,-7)
so,
(-4+7,-7+11) → (3,4)
( Since, the radius of circle 1 is 12 and that of circle 2 is 15 cm.
so, let the scale factor be k .
that means :
)