Answer:
The correct answer is diagonals are equal and bisect each other.
Step-by-step explanation:
A rectangle is a quadrilateral with opposites sides equal in length and all interior angles equal to 90°. Opposite sides are parallel and adjacent sides are perpendicular. Diagonals in a rectangle are equal in length and they bisect each other. If we want to draw a circumcircle, then the point of intersection of these diagonals give the circumcenter.
Answer:
12.5r
Step-by-step explanation:
You just add all the numbers together and then add the r at the end it’s pretty easy when you know that
Answer:
The correct option is;
Use a scale factor of 2
Step-by-step explanation:
The parameters given are;
A = (1, -6)
B = (5, -6)
C = (6, -2)
D = (0, -2)
A'' = (1.5, 4)
B'' = (3.5, 4)
C'' = (4, 2)
D'' = ( 1, 2)
We note that the length of side AB in polygon ABCD = √((5 -1)² + (-6 - (-6))²) = 4
The length of side A''B'' in polygon A''B''C''D'' = √((3.5 -1.5)² + (4 - 4)²) = 2
Which gives;
AB/A''B'' = 4/2 = 2
Similarly;
The length of side BC in polygon ABCD = √((6 -5)² + (-2 - (-6))²) = √17
The length of side B''C'' in polygon A''B''C''D'' = √((4 -3.5)² + (2 - 4)²) = (√17)/2
Also we have;
The length of side CD in polygon ABCD = √((6 -0)² + (-2 - (-2))²) = 6
The length of side C''D'' in polygon A''B''C''D'' = √((4 -1)² + (2 - 2)²) = 3
For the side DA and D''A'', we have;
The length of side DA in polygon ABCD = √((1 -0)² + (-6 - (-2))²) = √17
The length of side D''A'' in polygon A''B''C''D'' = √((1.5 -1)² + (4 - 2)²) = (√17)/2
Therefore the Polygon A B C D can be obtained from polygon A''B''C''D'' by multiplying each side of polygon A''B''C''D'' by 2
The correct option is therefore;
Use a scale factor of 2.
The first three you should check off because the man lost less so the last few questions would be wrong
Normalcdf(78, 82, 80, 8/√(64)) = 0.9544997361
The standard deviation of the sample mean will be 8/√64 = 1, so you are asking for the probability that the value will be within 2 standard deviations of the mean. This is a number most statistics students are asked to memorize.
Your probability is about 0.9545.
