Your bike lock has 4 digits numbered 0-9. find the total number of possible combinations for the lock.

10,000

Step-by-step explanation:

With a bike lock, you can usually use the same number more than one... you can have them the same (7777) if you want.

So, you have 10 possibilities for the first digit, 10 again for the second digit, 10 for the third digit... and also 10 for the last digit.  So...

10 * 10 * 10 * 10 = 10,000

These combinations range from 0000 to 9999

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,