multiply numerator/ denominator by the same value 4 to create an equivalent ratio
× =
9514 1404 393
Answer:
A) h = 4
B) k = 6.5
Step-by-step explanation:
In each case, the midsegment is half the length of the parallel base segment.
A) FG = 2KJ
(4h -8) = 2(h)
2h = 8
h = 4
__
B) GH = 2LK
4h -3 = 2k
(4(4) -3)/2 = k = 13/2 = 6.5
Let
x--------> the total length of the water main
we know that
the number of 20 ft pipes is x/20
and
the number of 18 ft pipes is x/18
Since they differ by 14 pipes,
we have the equation
x/18 - x/20 = 14
Solve for x (by canceling fractions)
20x - 18x = 14*18*20
x = (14*18*20)/2
x = 2,520 ft
therefore
the answer is
the total length of the water main is 2,520 ft