Answer:
The two triangles are congruent, so any point on CD will be equidistant from endpoints of AB.
Step-by-step explanation:
Let the consider the figure as per the attached image:
AB be a line whose perpendicular bisector line is CD.
CD divides the line AB in two equal line segments making an angle of 
on both the sides as shown in the attached figure.
Let a point on CD be E.
Here, two triangles are formed:
Side ED is common between the two triangles.
Also, Side ED is perpendicular bisector:
And Sides AD = DB
According to SAS congruence (i.e. Two sides are equal and angle between them is equal):
And as per the <em>properties of congruent triangles, all the sides are equal.</em>
EA and EB is the distance of point E on line CD from the endpoints of line AB.
Hence proved that Any point on CD is equidistant from the endpoints of AB .
Answer:
X = 53
X= 115 - 62
Step-by-step explanation:
Part A: 62 + X = 115
X= 115 - 62
X = 53
Part B:
APQ + QPR = PRD
Dont copy off of me because im not for sure this is the right awnser
Step-by-step explanation:
In statistics, the quartile is a measurement of the spread of values within a dataset above and below the mean via a division of the distribution into four defined intervals. A quartile partitions the data at three points within the distribution.
- 25% of the data lies below the lower or first quartile, denoted as
.
- 50% of the data lies below the median or second quartile, denoted as
.
- 75% of the data lies below the upper or third quartile, denoted as
.
Thus, logically, we know that the remaining 25% of the data lies above the third quartile.
As shown in the figure below, the score that defines the first quartile of the defined normal distribution is the same as the score that, when evaluated in the cumulative density function, 
, gives 25% of the area under the bell curve.
To find this z-score, we can use the help of the NORM.INV function in Microsoft Excel, which obtains the inverse of the normal cumulative distribution and the syntax, type into a cell, is as follows:
which gives you the value 149.77 (2 s.f.).
This means that 25% of the values of cholesterol levels lie below 149.77.
Answer:
![AB=\left[\begin{array}{cc}32&1&18&-22\\\end{array}\right]](https://tex.z-dn.net/?f=AB%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D32%261%2618%26-22%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
To multiply matrices, we need to take the dot product of each row and column.
First, the dot product of (1,5) and (2,6) is what goes in the top-leftmost section of the resulting matrix. So the dot product would be (1*2)+(5*6)=2+30=32.
Second, the dot product of (1,5) and (6,-1) is what goes in the top-rightmost section of the resulting matrix. So the dot product would be (1*6)+(5*-1)=6-5=1.
Third, the dot product of (-3,4) and (2,6) is what goes in the bottom-leftmost section of the resulting matrix. So the dot product would be (-3*2)+(4*6)=-6+24=18.
Fourth, the dot product of (-3,4) and (6,-1) is what goes in the bottom-rightmost section of the resulting matrix. So the dot product would be (-3*6)+(4*-1)=-18-4=-22.
Therefore, the resulting matrix is ![\left[\begin{array}{cc}32&1&18&-22\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D32%261%2618%26-22%5C%5C%5Cend%7Barray%7D%5Cright%5D)
