C
alternate interior angles theorem: If a transversal intersects two parallel lines, then the alternate interior angles are congruent. thus, if the alternate interior angles are congruent, then the lines are parallel.
all the angles are congruent, so m || n and p || q.
Answer:
C.20
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the difference between the two bounds, divided by 2.
In this question:
Lower bound: 70
Upper bounf: 110
Margin of error:

Thus the correct answer is given by option C.
To the right: 0.51
to the left: -0.51
She starts off with $10.25 and gets a raise of $0.50, so she earns $10.75 per hour. Then she gets a raise of 10%, so then 10.75 x 0.10 = 1.075, so she earns $11.825 per hour. Then her third raise is $0.50 so she earns $12.325 per hour. The raise for next summer is 5%, so 12.325 x 0.05 = 0.61625, so she earns $12.94125.
She will earn about $12.94 per hour starting off next summer.
The value of 
Step-by-step explanation:
Given: The function 
Using this formula, we need to find the value of 
Hence, we need to substitute
by
to find the value of 

Multiplying the term
by
, we get,

Adding the constant term,

Thus, the value of
is 