Explanation:
1. The set of points 5 cm from the nearest point on a circle of radius 2 cm will be a circle with a radius 5 cm larger: a circle with a radius of 7 cm.
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2. The set of points 6 in from the nearest point on a line will be a cylindrical shell 12 inches in diameter centered on the line.
If AB is a line segment, then the shell will have hollow hemispherical ends of radius 6 inches about the end points.
0.5 < x < 16.5 given: Two sides of triangle: 8.0 units and 8.5 units
Measure of third side = x
According to the triangle's inequality,
Sum of any two sides > third side. (i)
Difference between the sides < third side. (ii)
If x is the third side, then
x < 8+8.5 [Using (i)]
i.e. x< 16.5
Also, x > 8.5-8 [Using (ii)]
i.e. x> 0.5
Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.
Answer:
D.
Each line has the 3 dashes meaning equivalent
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