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
The balance point, or average value of those numbers, would be 4.75 or 4 and 3/4
14x is the difference between 23x and 9x.
There are 2,000 pounds in one Ton
So, multiply 2,000 lbs by 8T to get the total number of pounds
2,000 x 8 = 16,000 lbs
16,000 lbs = 8T
Answer: $440
Steps:
Retrace the math. Your total at the end was $22.00, before that you had a 10% tax so you multiply the tax in order to retrace that step. Next, multiply is by 2 as the 50% discount which gets you to $440
