x is the 1st number, y is the 2nd number, z is the 3d number.
x+y+z = 2
x - y + z= -2
x - z = y +22 -----> x-y-z=22
x+y+z = 2
<u>x - y + z= -2</u>
2x + 2z =0
x + z = 0
x = -z
x - y + z= -2 and x = -z
-z - y + z = -2, y =2
x-y-z=22 and x = -z, and y = 2 -----> x -2 +x = 22 --->2x = 24 ----> x = 12
x= -z -----> z = - 12
Answer:
112.98 square units
Step-by-step explanation:
Let's work backwards:
Circumference = 2πr
(37.68)/2π = r
Area = π
Area = π * 
Area = 112.983 square units
The coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.
<h3>What is a transformation?</h3>
A transformation can be defined as the movement of a point on a cartesian coordinate from its original (initial) position to a new location.
<h3>The types of transformation.</h3>
In Geometry, there are different types of transformation and these include the following:
Based on the information provided, triangle UVW would be rotated counterclockwise through an angle of 270 degree at origin to produce triangle U'V'W', we have:
![\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C-1%260%5Cend%7Barray%7D%5Cright%5D)
Therefore, the image of triangle UVW would be given by this matrix:
![\left[\begin{array}{ccc}-3&8&6\\8&4&-8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%268%266%5C%5C8%264%26-8%5Cend%7Barray%7D%5Cright%5D)
Image = ![\left[\begin{array}{ccc}8&4&-8\\3&-8&-6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%264%26-8%5C%5C3%26-8%26-6%5Cend%7Barray%7D%5Cright%5D)
Based on the image above, we can logically deduce that the coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.
Read more on transformations here: brainly.com/question/12518192
#SPJ1
Answer:
Option B, 1
Step-by-step explanation:
tan 45° = 1/1 = 1