I just did this question!
Answers:
1) <em>same side interior angles</em>
2) (3x+4)+(2x+11) = 180
3) 77
Answer: D) 
Step-by-step explanation:
From the given table we can see that this is not representing a linear function as the rate of change is not constant.
So it can be exponential growth function
, where A is the initial amount , b is the multiplicative rate of growth and n is the time period in weeks.
Now here at n=1 , f(n)=8
Therefore, A=8
Now, for n=2

By substitute the values of A and b in the above equation, we get the equation 
Therefore, the function best shows the relationship between n and f(n) is
, where n is the number of weeks.
Answer:
yes, triangle DEF is similar to triangle DBC, BC corresponds to EF, and angle DCB corresponds to angle F.
Step-by-step explanation:
Part A: Angle D is congruent to angle D by the reflexive property. Since line BC is parallel to line EF then angle DCB = angle DFE by corresponding angles. Hence triangle DEF is similar to triangle DBS by the AA Similarity Postulate.
Part B: BC corresponds to EF because they are in the same order and the triangles listed DEF and DBC
Part C: Angle DCB corresponds to angle F since they are corresponding angles with the two given parallel lines BC and EF.
Answer:
3 units down
Step-by-step explanation:
Compared to
f(x) = |x|,
f(x) = |x| - 3 moves 3 units down.