Answer:
AD = 44 and angle CAB = 90 degrees
Step-by-step explanation:
since the shape is a rectangle, all corner angles must be 90 degrees. so CAB is also 90 degrees.
the length of half of BC is 22, so the full length of BC is 44. using symmetry, AD should also be 44.
byebye!<3
Remove decimal for 4 move other decimal over once to the right and divide like normal
Answer:
I'm not 100% sure what this question is asking
Step-by-step explanation:
It looks like the triangle with the ' above each letter is a transformation from the blue triangle. In other words, the this transformation shows the original triangle being moved one space down and two spaces left.
Answer:
B.The matrix is invertible because the determinant is defined.
Step-by-step explanation:
<u>Definition:</u> A matrix is invertible if the determinant is not equal to zero.
Given the matrix:
![A=\left(\begin{array}{ccc}20&5&3\\4&-15&6\\0&25&-9\end{array}\right)](https://tex.z-dn.net/?f=A%3D%5Cleft%28%5Cbegin%7Barray%7D%7Bccc%7D20%265%263%5C%5C4%26-15%266%5C%5C0%2625%26-9%5Cend%7Barray%7D%5Cright%29)
The determinant of the matrix:
![|A|=20\left|\begin{array}{ccc}-15&6\\25&-9\end{array}\right|-5\left|\begin{array}{ccc}4&6\\0&-9\end{array}\right|+3\left|\begin{array}{ccc}4&-15\\0&25\end{array}\right|](https://tex.z-dn.net/?f=%7CA%7C%3D20%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D-15%266%5C%5C25%26-9%5Cend%7Barray%7D%5Cright%7C-5%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D4%266%5C%5C0%26-9%5Cend%7Barray%7D%5Cright%7C%2B3%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D4%26-15%5C%5C0%2625%5Cend%7Barray%7D%5Cright%7C)
![|A|=20(-15*-9-25*6)-5(-9*4-6*0)+3(4*25-0*-15)\\=20(135-150)-5(-36-0)+3(100+0)\\=20(-15)-5(-36)+3(100)\\=-300+180+300\\|A|=180](https://tex.z-dn.net/?f=%7CA%7C%3D20%28-15%2A-9-25%2A6%29-5%28-9%2A4-6%2A0%29%2B3%284%2A25-0%2A-15%29%5C%5C%3D20%28135-150%29-5%28-36-0%29%2B3%28100%2B0%29%5C%5C%3D20%28-15%29-5%28-36%29%2B3%28100%29%5C%5C%3D-300%2B180%2B300%5C%5C%7CA%7C%3D180)
Since the determinant,
, the matrix is invertible because the determinant is defined.
Answer:
The level of variable ages of children is ratio.
Explanation:
Nominal scale is the one which takes categories as its values like gender of a person.
Ordinal scale is the one which is used to show the order of values with no clear difference among them like satisfaction level of people with a service.
Interval scale is the one which shows the clear order of values with clear difference between the values with out true zero.
Ordered scale is one which not only produces the order of variables but also makes the difference between variables known along with information on the value of true zero.
Therefore, the variable which is under consideration here is the ages of children, which takes the values 3,4,5,6 and 7 is a ratio scale.