For part two using what we already know can you figure out the length of the segment?
answer D) 24
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3(q + 34)= 2
First distribute:
3(q) + 3(34)
3(q) = 3q
3(34) = 102
New equation: 3q + 102 = 2
Subtract by 102 on each of your sides:
3q + 102 - 102 = 2 - 102
Cancel out: 102 - 102 because it gives us 0
Keep: 2 - 102 because it helps us solve for our q
2 - 102 = - 100
New equation: 3q = -100
Divide both sides by 3
3q/3 = -100/3
Cancel out: -3q/3 because it gives us 1
Keep: -100/3 because it gives us the answer for q
Answer: q = -100/3 ✅
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A combination is a selection of part from a set of objects. In a combination the order of selecting object does not matters.
So we use combination for selecting 3 from the population of 10
We know combination of selecting 'r' objects from 'n' is nCr
We need to find 10C 3
= 120
120 different samples of size 3 can be taken from a finite population of size 10
Answer-
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