Vertical angles are congruent due to the fact that they intersect. If they did not, they would in fact be parallel. (last section)
Answer: x = 9/11
Step-by-step explanation:
First, distribute 9 to x and -1
9x - 9 = 2
Then add 9 to both sides
9x = 11
Then divide both sides by 9
x = 9/11
Hope it helps :)
Our matrix C is the encoder. Let X be our secret message and let B be our encoded message. Therefore the relationship between the 3 can be represented as:
CX = B
So we want to solve for X (our secret message). So using matrix algebra:
X = C^-1*B
where C^-1 is the inverse of C.
C^-1 = | 3 -2 |
|4 -3 |
So we take C^-1 and multiply it by matrix B to get X. Matrix B is already given to us. So just multiply those two. I used a calculator to get:
X = | 20 8 5 3 15 12 15 |
| 18 9 19 2 12 21 5 |
And since A = 1, B = 2, C = 3, etc....
We decode our message and it says:
X = | T H E C O L O |
| R I S B L U E |
So the answer is: The color is blue (D)
A cardinal number of a set is the number of elemenents it contains. Therefore the cardinal number of A is equal to 5.
