I divided 50 miles by 2 = 25 miles (walked) 25 miles (horseback)
I divided 25 by 3 = 8.33
I divided 25 by 9 = 3
Added together = 8.33 + 3 = 11.33
So time to complete the journey 11.33 hour
With any parallelogram, the diagonals bisect each other. This is another way of saying that they cut each other in half.
FH is one diagonal that is split into two equal pieces by the other diagonal EG.
The two parts of FH (KH and KF) are congruent to each other, so KH = KF. They combine back to FH
By the segment addition postulate
KH + KF = FH
KH + KH = FH .... KF has been replaced with KH (works because KF = KH)
2*KH = FH
Now use substitution
2*KH = FH
2*15 = FH .... replace KH with 15 (since KH = 15)
2*15 = 4x-2 ... replace FH with 4x-2 (since FH = 4x-2)
and solve for x
2*15 = 4x-2
30 = 4x-2
30+2 = 4x-2+2 ... add 2 to both sides
32 = 4x
4x = 32
4x/4 = 32/4 ... divide both sides by 4
x = 8
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Answer: x = 8
Answer:
gf(5) = 289.
fg(x) = 3x^2 + 2.
Step-by-step explanation:
f(5) = 3(5) + 2 = 17
So gf(5) = 17^2 = 289.
fg(x) = 3(x^2) + 2 (we replace the x in f(x) by g(x)).
= 3x^2 + 2.
Answer: 82% decrease
Step-by-step explanation:
Initial number =5000
Final number = 900
Change in numbers = 5000 - 900 = 4100
Since 5000 > 900 ( the change is a decrease)
Thus, the percent change =
(4100/5000) x 100%
= 82%
Thus, the percent of change from 5,000 to 900 is 82% decrease
