Answer:
The length of DF must be between 21 and 53.
Step-by-step explanation:
In a triangle, the length of two sides added together must exceed the length of the 3rd side. So, since EF is the shortest of the two givens, we know that EF + DF must be greater than DE. So we can plug in these numbers to find the minimum.
EF + DF > DE
16 + DF > 37
DF > 21
Now, for the upper maximum, we know that the two given lengths must be greater than the length of DF. So again, we can solve for the maximum using the amounts.
DE + EF > DF
37 + 16 > DF
53 > DF
With these two in mind, we know that DF must be between 21 and 53
Answer:
x=4
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
if you order the numbers from least to greatest, there are 14 numbers (which is even which means their is going to be two median. when you have two medians you add them and then divide them by 2) 35 + 35 = 70, 70 divided by 2 is 35. the answer is 35!
Answer:
Step-by-step explanation:
apply the inverse properties of logarithmic and exponential functions to simplify
Inverse property of log says that
we apply this property in our problem. ln has same base 'e' . so ln and e gets cancelled
Answer:
Step-by-step explanation:
1
the initial level is below normal so it is represented by a negative number. the level continued to decrease in June and July so those changes are also represented by negative numbers. find the sum of these values to find what the new level was with respect to the normal level
2
write the mixed numbers as improper fractions
3
get common denominator
4
add the numerators since all the numbers are negative and have a common denominator. write the improper fraction as a mixed number
