H-human a-horse
h+a= 72
2h+4a=192
then do h=72-a
substitute that into the second equation
2(72-a)+4a=192
multiple out
144-2a+4a=192
2a=48
a=24
substitute a into the first equation
h+24=72
h=48
humans- 48
horses- 24
Answer:
D. 1000 meters
Step-by-step explanation:
(39370 in)/(39.37 in/m) = (39.37×1000)/(39.37) m = 1000 m
Answer:
Step-by-step explanation:
The generating function a(x) produces a power series ...
where the coefficients are the elements of the given sequence.
We observe that the given sequence has the recurrence relation ...
This can be rearranged to ...
We can formulate this in terms of a(x) as follows, then solve for a(x).
The generating function is ...
a(x) = 1/(1+2x)
Answer:
25.821568896
Step-by-step explanation:
Answer:
Problem B: x = 12; m<EFG = 48
Problem C: m<G = 60; m<J = 120
Step-by-step explanation:
Problem B.
Angles EFG and IFH are vertical angles, so they are congruent.
m<EFG = m<IFH
4x = 48
x = 12
m<EFG = m<IFH = 48
Problem C.
One angle is marked a right angle, so its measure is 90 deg.
The next angle counterclockwise is marked 30 deg.
Add these two measures together, and you get 120 deg.
<J is vertical with the angle whose measure is 120 deg, so m<J = 120 deg.
Angles G and J from a linear pair, so they are supplementary, and the sum of their measures is 180 deg.
m<G = 180 - 120 = 60
