Answer:
x = 25
Step-by-step explanation:
The interior angle adjacent to the 123° angle is supplementary to it.
Its measure is 180° - 123° = 57°
The sum of the measures of the interior angles of a polygon is
(n - 2)180° = (4 - 2)180° = 2(180°) = 360°
3x + 7 + 96 + 5x + 57 = 360
8x + 160 = 360
8x = 200
x = 25
![A\left[\begin{array}{ccc}1&0&5\\0&-5&7\\0&3&-4\end{array}\right]](https://tex.z-dn.net/?f=A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%265%5C%5C0%26-5%267%5C%5C0%263%26-4%5Cend%7Barray%7D%5Cright%5D)
![B\left[\begin{array}{ccc}3&-5&3\\2&3&1\\4&1&-3\end{array}\right]](https://tex.z-dn.net/?f=B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-5%263%5C%5C2%263%261%5C%5C4%261%26-3%5Cend%7Barray%7D%5Cright%5D)
![Now,\\\\2B-A\\\\2\left[\begin{array}{ccc}3&-5&3\\2&3&1\\4&1&-3\end{array}\right]-\left[\begin{array}{ccc}1&0&5\\0&-5&7\\0&3&-4\end{array}\right]\\\\=\left[\begin{array}{ccc}6&-10&6\\4&6&2\\8&2&-6\end{array}\right] -\left[\begin{array}{ccc}1&0&5\\0&-5&7\\0&3&-4\end{array}\right]\\\\=\left[\begin{array}{ccc}5&-10&1\\4&11&-5\\8&-1&-2\end{array}\right]](https://tex.z-dn.net/?f=Now%2C%5C%5C%5C%5C2B-A%5C%5C%5C%5C2%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-5%263%5C%5C2%263%261%5C%5C4%261%26-3%5Cend%7Barray%7D%5Cright%5D-%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%265%5C%5C0%26-5%267%5C%5C0%263%26-4%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%26-10%266%5C%5C4%266%262%5C%5C8%262%26-6%5Cend%7Barray%7D%5Cright%5D%20-%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%265%5C%5C0%26-5%267%5C%5C0%263%26-4%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-10%261%5C%5C4%2611%26-5%5C%5C8%26-1%26-2%5Cend%7Barray%7D%5Cright%5D)
Row 1 column 2(a12)=-10
Hence,-10 is your answer.
Answer:
The replicas will have a surface area of 3 m2, 2.4 m2 and 2 m2 respectively.
Step-by-step explanation:
Given that a pyramid art installation has a surface area of 24 m2, and an artist creates replicas with scale factors of 1/8, 1/10, and 1/12, to determine what is the surface area of each replica, the following calculation has to be done:
24 x 1/8 = 3
24 x 1/10 = 2.4
24 x 1/12 = 2
Therefore, the replicas will have a surface area of 3 m2, 2.4 m2 and 2 m2 respectively.
Answer:
0.15
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Choice A is directly stating what the couple is doing, without any extra information needed.
