Answer:
1/3
Step-by-step explanation:
-1 1/3 minus -1 2/3 is the same as -1 1/3 + 1 2/3 which equals 1/3
Answer: Not 100% sure, but i think it's 3j + 1...?
The correct answer is D) ABCD ~ NMLK, and x=7.
Based on the way the polygons are marked, A corresponds with N, B corresponds with M, C corresponds with L and D corresponds with K. Using this, we set up a proportion:
12/8 = (5x+1)/(5x-11)
Cross multiplying, we have:
12(5x-11) = 8(5x+1)
Using the distributive property,
12*5x - 12*11 = 8*5x + 8*1
60x - 132 = 40x + 8
Subtract 40x from both sides:
60x - 132 - 40x = 40x + 8 - 40x
20x - 132 = 8
Add 132 to both sides:
20x - 132 + 132 = 8+132
20x = 140
Divide both sides by 20:
20x/20 = 140/20
x = 7
Answer:Your left hand side evaluates to:
m+(−1)mn+(−1)m+(−1)mnp
and your right hand side evaluates to:
m+(−1)mn+(−1)m+np
After eliminating the common terms:
m+(−1)mn from both sides, we are left with showing:
(−1)m+(−1)mnp=(−1)m+np
If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:
(−1)(−1)mn=(−1)n.
It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:
(−1)(−1)mn=(−1)−n=1(−1)n
Multiplying both sides by (−1)n then yields:
1=(−1)2n=[(−1)n]2 which is always true, no matter what n is
Answer:
11.7 in
Step-by-step explanation:
