Answer:
x = 61
Step-by-step explanation:
Alternate exterior angles must be congruent for the lines to be parallel.
3x - 43 = 2x + 18
x = 61
Answer:
D
Step-by-step explanation:
<span>Simplify the </span>expression<span>.
Exact Form is:
</span>

The decimal form is:
5.24
Mixed Number Form is:
Answer:
number of ways = 720
Step-by-step explanation:
The number of ways six people sit in a six-passenger car is given by the number of permutations of 6 elements in 6 different positions ( seats), then
number of ways = number of permutations of 6 elements = 6! = 6 * 5 * 4 *3 * 2 * 1 = 720
Since the first person that sits can be on any of the seats , but then the second person that sits can choose any of 5 seats (since the first person had already occupied one) , the third can choose 4 ... and so on.
Answer:
The unique solution to the system is (x,y){(-9,-3)}
Step-by-step explanation:
x - y = -6 equation 1
5x + 6y = -63 equation 2
We will find the value of x from equation 1.
x= y-6
Now put the value of x in equation 2.
5(y-6)+6y = -63
5y-30+6y = -63
Combine the like terms:
5y+6y= -63+30
11y = -33
Divide both sides by 11.
11y/11 = -33/11
y = -3
Now put the value y = -3 in x=y-6
x = y-6
x= -3-6
x= -9
Therefore The unique solution to the system is (x,y){(-9,-3)} ....