ANSWER
D. rotation, translation, reflection
EXPLANATION
Dilation is not a rigid motion.
When the triangle is dilated the image triangle may become bigger ( magnification) or smaller (reduction).
When the scale factor is negative 1, a congruent triangle is obtained.
Hence dilation will not always produce a congruent triangle.
Rotation, reflection and translation are rigid motions and hence will always produce a congruent triangle.
The answer is not defined.
Explanation:
The given matrix is ![$\left[\begin{array}{cc}{2} & {4} \\ {1} & {-6}\end{array}\right]+\left[\begin{array}{c}{1} \\ {0}\end{array}\right]$](https://tex.z-dn.net/?f=%24%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%7B2%7D%20%26%20%7B4%7D%20%5C%5C%20%7B1%7D%20%26%20%7B-6%7D%5Cend%7Barray%7D%5Cright%5D%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D%7B1%7D%20%5C%5C%20%7B0%7D%5Cend%7Barray%7D%5Cright%5D%24)
The matrix ![$\left[\begin{array}{cc}{2} & {4} \\ {1} & {-6}\end{array}\right]$](https://tex.z-dn.net/?f=%24%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%7B2%7D%20%26%20%7B4%7D%20%5C%5C%20%7B1%7D%20%26%20%7B-6%7D%5Cend%7Barray%7D%5Cright%5D%24)
has dimensions 
This means that the matrix has 2 rows and 2 columns.
Also, the matrix ![$\left[\begin{array}{l}{1} \\ {0}\end{array}\right]$](https://tex.z-dn.net/?f=%24%5Cleft%5B%5Cbegin%7Barray%7D%7Bl%7D%7B1%7D%20%5C%5C%20%7B0%7D%5Cend%7Barray%7D%5Cright%5D%24)
has dimensions 
This means that the matrix has 2 rows and 1 column.
Since, the matrices can be added only if they have the same dimensions.
In other words, to add the matrices, the two matrices must have the same number of rows and same number of columns.
Since, the dimensions of the two matrices are not equal, the addition of these two matrices is not possible.
Hence, the addition of these two matrices is not defined.
Each 1/8 is 0.125, so 7*0.125 in relation to 7/8 as a decimal is 0.875. Answer C.
Answer: 75 ft
Step-by-step explanation:
45x10 = 450
450/6=75
Answer:
23
Step-by-step explanation:
Taking an algebraic approach
let the number be n, then (n - 17) is 17 subtracted from number and
- 2(n - 17) = - 12 ( divide both sides by - 2 )
n - 17 = 6 ( add 17 to both sides )
n = 23
Thus Julio's number was 23
