Answer:
DC = 3
Step-by-step explanation:
Based on triangle similarity theorem, we would have the following equation:

Plug in the values



Cross multiply
3(9 + DC) = 9×4
27 + 3DC = 36
Subtract 27 from each side
3DC = 36 - 27
3DC = 9
Divide both sides by 3
DC = 9/3
DC = 3
Solution:
we are given that
The magnitudes of the moon and Sirius are -12.5 and -1.44 respectively.
we have been asked to find approximately how many times is the moon brighter than Sirius?
The word magnitude is used by the scientist to describe the brightness of moon/star/object etc.
So we can find the brightness by dividing the given values. so we get

Hence we can say
The moon is 8.68 times brighter than Sirius.
Answer:
20% probability that the next customer will pay with cash
Step-by-step explanation:
A probability, as a decimal, is the number of desired outcomes divided by the number of total outcomes.
To find as percent, we multiply by 100.
In this question:
Total of 54+63+153 = 270 customers.
Of those, 54 paid with cash.
Based on the number of customers from last week, what is the probability as a percent that the next customer will pay with cash?
54/270 = 0.2
0.2*100 = 20%
20% probability that the next customer will pay with cash
Answer:
15
Step-by-step explanation:
the pattern is like this
start with 1 then add 2 equals 3
start with 3 then add 3 equals 6
so 6 add 4 equals to 10
and the 5th term will be 10 add 5
equals to 15