Answer:
$114.3
Step-by-step explanation:
Number of hours worked last week = 12hrs
Amount earned for her work hours = $98
The rate at which she earned = ?
Rate =
Rate =
= $8.17/hr
Now;
Since the total hours she worked during the weekend = 14hrs
Amount earned = $8.17/hr x 14hrs = $114.3
Hello!
We are told that n and m are parallel.
The angle that measures 105 degrees is supplementary with the alternate interior angle of the angle which measures (3x - 18) degrees. Supplementary angles add to equal 180 degrees, so we can make an equation by first finding the measure of the alternate interior angle.
180 - 105 = 75
The alternate interior angle measures 75 degrees, so we can set that equal to 3x - 18 to solve for x since alternate interior angles are congruent.
75 = 3x - 18
93 = 3x
31 = x
Answer:
x = 31
Divide both sides by -3, and replace
with
. Then

Factorize the quadratic in
to get

which in turn means

But
for all real
, so we can ignore the first solution. This leaves us with

If we allow for any complex solution, then we can continue with the solution we ignored:

Answer:
0.0049382716
PS: you could just look it up ;)
Step-by-step explanation: