It can't be for sure a perpendicular bisector cuz you don't know what kind of triangle you are dealing with so that one's out. It's not necessarily an angle bisector either for the same reason. A median means that PS will go through the opposite side right in the center, and again, depending upon what type of triangle you have, this could be true...So it is an altitude, which is like a height of a triangle. It drops down from a vertex and forms a right angle with wherever it goes through. So D.
The triangles are similar because corresponding angles are congruent, however no congruency statement can be made because the side lengths are unknown.
The 4th selection is appropriate.
Answer:
The absolute brightness of the Cepheid star after a period of 45 days is -5.95
Step-by-step explanation:
Since the absolute magnitude or brightness of a Cepheid star is related to its period or length of its pulse by
M = –2.78(log P) – 1.35 where M = absolute magnitude and P = period or length of pulse.
From our question, it is given that P = 45 days.
So, M = –2.78(log P) – 1.35
M = –2.78(log 45) – 1.35
M = –2.78(1.6532) – 1.35
M = -4.60 - 1.35
M = -5.95
So, the absolute magnitude or brightness M of a Cepheid star after a period P of 45 days is -5.95
Before we figure out how many customers you will need to talk per day to reach your goal, let's calculate what is 20% of how many customers you normally talk to a day.
current no. = 8
goal = 8 + 20%
20% = 8 x 0.20
(a percent is really just a fraction with the percent number over 100)
20% = 1.60
goal = 8 + 1.60
goal = 9.60
However, there is no such thing as .60 of a person so we will have to round up. You will need to talk to 10 customers per day.
Submarine: -730
Airplane: 9,144
|-730-9,144|=|-9,874|=9,874
|d|: absolute value
The vertical distance between the submarine and airplane is 9,874 meters.
