<em>Hexagonal</em> implies that the <em>traffic sign</em> has six straight sides. But <u>dilating</u> it changes its <em>length</em> of sides, but not its angles. So that the <em>statement</em> that is <u>true</u> is option B. 
i.e B. The <u>dilated</u> sign will have corresponding line segments that are <em>proportional</em> to those of the pre-image and <u>corresponding</u> angles that are congruent to that of the pre-image.
Dilation involves <u>increasing</u> or <u>decreasing</u> the line segments of a given shape by a <em>scale factor</em>. This process do not affect the measure of the internal <u>angles</u> of the shape.
Given a <u>hexagonal</u> traffic sign in the question, this implies that the traffic sign has six sides. <u>Dilating</u> it by a scale factor of 2.5 about its center would affect its <em>length</em> of sides. So that the <em>statement</em> that is <u>true</u> is option B.
i.e B. The dilated sign will have <u>corresponding</u> line segments that are proportional to those of the pre-image and <em>corresponding</em> angles that are congruent to that of the pre-image.
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Answer:
c. 60.278%
Step-by-step explanation:
There is a 27.778% probability that someone owns a dog.
There is a 45% probability that someone is a male.
However, these two are not mutually exclusive.  12.5% both own a dog and are male.  If we simply add 27.778% and 45%, we'll be double counting the overlap.  To avoid this, we subtract 12.5%.
27.778% + 45% − 12.5% = 60.278%
 
        
             
        
        
        
Looking through my old calc notes, I am reading that f(x) needs to be continuous on [a,b] and f ' (x) also needs to be continuous on [a,b]. Both conditions are needed. If you had to pick just one, then I'd say f(x) being continuous is much more important. Though I'm not 100% sure on this one. My thinking is that if there was any discontinuities on f(x), then the arc length would be distorted and overblown. The arc length should not account for any piece that isn't on the curve. 
        
             
        
        
        
The measure of any interior angle of a convex regular n-gon is : 
180 º - ( 360 º / n ) 
For a 30-sided polygon, 
interior angle = 180 º - ( 360 º / 30 ) 
..................... = 180 º - 12 º 
..................... = 168 º
        
             
        
        
        
Answer:
y = x +3
Step-by-step explanation: