The distance between A and B and the distance between C and D are the same ( the 2 little lines indicate that).
This means the two arc lengths would also be the same.
Set the equations equal to each other,, solve for x then solve for the arc length.
AB = 3x +9
CD = 11x-71
3x+9 = 11x-71
Subtract 3x from both sides:
9 = 8x-71
Add 71 to both sides:
80 = 8x
Divide both sides by 8:
x = 10
Now solve for AB:
3x +9 = 3(10) +9 = 30+9 = 39
The answer is AB = 39
It’s true bc a parallelogram has two sides and a trapezoid has one
Answer:
252
Step-by-step explanation:
The question is fully equivalent to asking how many subsets of length 5 there are of 10 objects (digits 0–9). That number is 10C5, where nCk is the number of ways to choose k objects from a list of 10. The value of that is ...
nCk = n!/(k!(n-k)!)
There are 252 ways to choose 5 numbers from the digits 0-9:
10C5 = 10!/(5!(10-5)!) = 10·9·8·7·6/(5·4·3·2·1) = 9·4·7 = 252
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The order of the selection doesn't matter, because the selected digits are always arranged in decreasing order to form a decreasing number.
- Distance Formula:
- Product rule of radicals: √ab = √a x √b
Using our two points, we can solve for the distance as such:
Now our exact answer may be √116, however using the product rule of radicals we can further simplify the radical as such:
√116 = √4 x √29 = 2√29.
- Exact Answer: <u>√116 or 2√29</u>
- Approximate Answer: <u>10.77</u>
