Answer: 6 hours
Step-by-step explanation: If you write an equation for this scenario it would be y = 12+3x. 12 is the starting value and x represents how many hours the bike is rented, therefore 3 dollars would be added to the initial 12 each hour. So if Lucy spent $30 then it would change to 30= 12+3x. Now you essentially just need to work backwards. Rearrange the equation and move 12 to the left of the equal sign to make 30-12=3x. Combine vairable to make 18=3x. Divide 3x by 3 to isolate x and divide 18 by 3 as well to make it even. This looks like 18/3=3x/3. Meaning it would end up as 6=x.
Answer:
a. They are same side interior angles. Angle A measures 55°.
Step-by-step explanation:
we are given

We will simplify left side and make it equal to right side
Left side:

we can use trigonometric identity

we can replace it

we know that
csc=1/sin and sec=1/cos
so, we can replace it
and we get

now, we know that
tan =sin/cos

we can simplify it
and we get

we can also write it as

Right Side:

we can see that
left side = right side
so,
......Answer
4a+8
Add all A's together.
Add 5 and 3 together.