Answer:
r = 7
Step-by-step explanation:
The common ratio r of a geometric sequence is
r = 
= 
, that is
r = 
= 
= 7
136.8 meter, or 137 meters
Work:
60 minutes x 24 hours =
1,440 minutes in a day
1,440 minutes x 9.5 cm =
13,680 centimeters
13,680 cm = 136.8 meters // 137
Answer: D) III only
With figure I, we can't use HL (hypotenuse leg) theorem because we don't know if the two hypotenuses are the same length. We know that one pair of legs (the vertical legs) are congruent, but we don't have enough info
With figure II, we have two pairs of congruent legs. The tickmarks tell us this. However we don't know if the hypotenuses are congruent. Note: we can use the LL (leg leg) theorem, which is related to the HL theorem, but that's not what the teacher wants
Figure III is the only figure where we know that a pair of hypotenuses are the same length as shown by the similar tickmarks. The vertical legs are congruent as well for the upper pair of triangles. We have enough info to use HL.
Answer:
6(x^2-3)
Step-by-step explanation:
Answer:
y = x/3 + 10
Step-by-step explanation:
Let y be the number of minutes the flight takes
She can take off 10 minutes later than expected. She will be able to travel at a speed three times than expected.
Let her expected speed be s, therefore, she can travel at 3s.
x = number of minutes the flight was expected to take.
In terms of distance and speed:
x = d / s ______(1)
where d = total distance traveled
The time for the flight (minus waiting time) is now the division of the distance she traveled and her speed, i.e.:
t = d / 3s
From (1):
=> t = x / 3
The time she spent waiting is 10 minutes.
Therefore, the total time that the flight takes (plus waiting time) is:
y = t + 10
=> y = x/3 + 10
