Determine the flaws in the solution,
Analyze the solution shown
1. -|-xl = 7: given
2. |-x) = -7: multiplication property of equality
3. -* = 7 or -x = -7: definition of absolute value
4. X -7 or x = 7: multiplication property of equality
6. Check: -1-(-7)] = 7,-777
-1-71=7,7=7
Negative times negative is positive
The multiplication property of equality in Step 2
should result in 1x1 = 7
The definition of absolute value is applied
incorrectly. There is no solution.
The reason in Step 4 should be the addition
property of equality.
The multiplication property of equality in Step 4
should result in only x = 7
In evaluating the solutions, the absolute value
should be simplified first to get a positive value

The factorization of 8x3 -125 is (2x-5)(jx2 +kx+25)

When booking personal travel by air, one is always interested in actually arriving at one’s final destination even if that arrival is a bit late. the key variables we can typically try to control are the number of flight connections we have to make in route, and the amount of layover time we allow in those airports whenever we must make a connection. the key variables we have less control over are whether any particular flight will arrive at its destination late and, if late, how many minutes late it will be. for this assignment, the following necessarily-simplified assumptions describe our system of interest: the number of connections in route is a random variable with a poisson distribution, with an expected value of 1. the number of minutes of layover time allowed for each connection is based on a random variable with a poisson distribution (expected value 2) such that the allowed layover time is 15*(x+1). the probability that any particular flight segment will arrive late is a binomial distribution, with the probability of being late of 50%. if a flight arrives late, the number of minutes it is late is based on a random variable with an exponential distribution (lamda = .45) such that the minutes late (always rounded up to 10-minute values) is 10*(x+1). what is the probability of arriving at one’s final destination without having missed a connection? use excel.

Angle m aoc=108° m aob=3x+4° m boc=8x-28° find m aob