Answer:
f(x) = x*3/4 + 42.5
Step-by-step explanation:
The original difference between the pair is 70 - 30 = 40
The new difference between the pair is 95 - 65 = 30
Since the differences are not the same, Mrs Bailey must first perform a (slope) multiplication by a factor of 30/40 or 3/4
Then 30 * 3/4 = 22.5
Then she can shift the scores up by 65 - 22.5 = 42.5 in order to get the range from 65 to 95
Therefore, f(x) = x*3/4 + 42.5. We can test that
f(30) = 30*3/4 + 42.5 = 65
f(70) = 70*3/4 + 42.5 = 95
Answer: Octavian (the future emperor Augustus), Mark Antony, and Lepidus. i hope this helped
Step-by-step explanation:
Step-by-step explanation:
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Looks like you've got 3 lines that are all parallel with one transversal diagonally running down the middle.
Since all of the other lines are parallel to one another, there are only two different angle combinations to be made by the transversal and one of the other lines, one of which being the given 60º angle.
The other one is found by subtracting that from 180 since a straight angle measures 180º.
180 - 60 = 120
The smaller ones are always 60º, and the larger ones are always 120º.
That means that a = 60, b = 60, and d = 60
It also means that c = 120 and e = 120.
Hope this helps!
Answer:
L= 5+2s
Step-by-step explanation:
Let L = the larger # and S = the smaller #.
A large # is 5 more than twice a smaller #.....This gives Eq 1) L = 5 + 2S
Their sum is 80...This gives Eq 2) L + S = 80.
Substitute Eq 1) into Eq 2), you get
L + S = 80
5 + 2S + S = 80
L = 5 + 2S
