Answer:
z = 94
x = 7
Step-by-step explanation:
The angle with a measure of 94° and the angle labeled "z" are vertical angles
Vertical angles are congruent ( equal to each other )
Which means that because "z"s vertical angle = 94° z also equals 94°
The angle labeled with the expression ( 12x + 2 ) and the angle with a measure of 94° are supplementary angles
Supplementary angles add up to equal 180
Hence, 94 + 12x + 2 = 180
^ (Note that this is the equation we will use to solve for x )
Now we solve for x
94 + 12x + 2 = 180
step 1 combine like terms
94 + 2 = 96
we now have 180 = 96 + 12x
step 2 subtract 96 from each side
180 - 96 = 84
96 - 96 cancels out
we now have 84 = 12x
step 3 divide each side by 12
84 / 12 = 7
12x / 12 = x
we're left with x = 12
Recall your d = rt, distance = rate * time
one car is going at 55kph, at say hmmm "t" time
the second car zooms by at 75kph, an hour later, thus " t + 1 "
notice, overtaking the 1st car, simply means, the second car comes from behind approaches the first car from behind and "gets there", at that very second, both cars have travelled a distance, say "d"
if the first car travelled "d" kilometers
for the second car to "get there" has to had travelled "d" distance as well

solve for "t"