Given that Phil traveled with his family by car. They started their trip from Lexington to Louisville, driving directly west for 60 miles.
So AB=60
They then turned North, driving to Indianapolis which is 100 miles from Lexington.
So AC=100
Then, they turned to the West again, and drove to Decatur which which is 170 straight miles from Louisville.
so BD=170
Now we have to find about how many miles did they cover in total driving from Lexington to Decatur.
That means we have to find length of (AB+BC+CD)
We can use Pythogorean theorem to find the values of BC and CD.


then (AB+BC+CD)=60+80+150= 290
Hence final answer is miles.
Answer:
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The given equation x-1/x-2+x+3/x-4=2/(x-2).(4-x) is correct. the answer is proved.
According to the statement
we have given that the equation and we have to prove that the given answer is a correct answer for those equivalent equation.
So, The given expression are:

And we have to prove the answer.
So, For this


Then the equation become

Now solve it then

Now take 2 common from answer then equation become

Hence proved.
So, The given equation x-1/x-2+x+3/x-4=2/(x-2).(4-x) is correct. the answer is proved.
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Recall that
cos(A + B) = cos(A) cos(B) - sin(A) sin(B)
sin(A + B) = sin(A) cos(B) + cos(A) sin(B)
By definition of cotangent,
cot(A + B) = 1 / tan(A + B) = cos(A + B) / sin(A + B)
and by applying the identities above,
cot(A + B) = (cos(A) cos(B) - sin(A) sin(B)) / (sin(A) cos(B) + cos(A) sin(B))
Now, multiply the expression on the right by 1/(sin(A) sin(B)) to get
cot(A + B) = (cot(A) cot(B) - 1) / (cot(B) + cot(A))
Given tan(A) = 1/4 and tan(B) = 1/5, we have cot(A) = 4 and cot(B) = 5, so that
cot(A + B) = (4×5 - 1) / (5 + 4) = 19/9
Answer:
100 mm
Step-by-step explanation:
this right awnser