Step-by-step explanation:
They are all polygons with four sides.
The sum of the measures of their interior angles is 360°.
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Answer with explanation</u>
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Let 
be the distance traveled by deluxe tire .
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since 
is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.
Test statistic : 
where, n= sample size
= sample mean
= Population mean
=sample standard deviation
For 
, we have
By using z-value table,
P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23) [∵P(Z≤-z)=1-P(Z≤z)]
=1-0.9871=0.0129
Decision : Since p value (0.0129) < significance level (0.05), so we reject the null hypothesis .
[We reject the null hypothesis when p-value is less than the significance level .]
Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.
Answer: m = 0
Step-by-step explanation:
Slope (m) = y2 - y1/,x2 - x1 : meaning increase in y divided by increase in x . it can also be written as ∆y/∆x
y1= 1, y2 = 1, x1 = 7, x2 = -2
Substitute for those values in the equation above
m = 1 -1/-2 - 7
= 0/-9
Therefore,
m = 0
The slope of the line passing through those coordinates = 0
6.6 Symmetries of Regular
Polygons
A Solidify Understanding Task
A line that reflects a figure onto itself is called a line of symmetry. A figure that can be carried onto
itself by a rotation is said to have rotational symmetry. A diagonal of a polygon is any line
segment that connects non-consecutive vertices of the polygon.
For each of the following regular polygons, describe the rotations and reflections that carry it onto
itself: (be as specific as possible in your descriptions, such as specifying the angle of rotation)
1. An equilateral triangle
2. A square
3. A regular pentagon
4. A regular hexagon
