Unknown angle problems (with ale Solve for I in the diagrarn below. (24 + 45) f TE
1 answer:
Answer:
x = 45
Step-by-step explanation:
The angles with (2x + 45) and x are supplementary angles, meaning they add up to 180°. We can write this statement as an algebraic equation of and solve it.
Step 1: Combine like terms.
Step 2: Subtract 45 from both sides.
Step 3: Divide both sides by 3.
Step 4: Check if solution is correct.
Therefore, x = 45.
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Answer:
a) 504
b) 56
c) 0.111
Step-by-step explanation:
Data provided in the question:
There are nine golf balls numbered from 1 to 9 in a bag
Three balls are randomly selected without replacement
a) 3-digit numbers that can be formed
=
n = 9
r = 3
= ⁹P₃
=
= 9 × 8 × 7
= 504
b) 3-digit numbers start with the digit 1
= _ _ _
in the above 3 blanks first digit is fixed i.e 1
we and we have 8 choices left for the last 2 digits
Thus,
n = 8
r = 2
Therefore,
= 1 × ⁸P₂
= 1 ×
= 1 × 8 × 7
= 56
c) Probability that the 3-digit number formed is less than 200
Now,
The number of 3-digit number formed is less than 200 will be the 3-digit numbers start with the digit 1 i.e part b)
and total 3-digit numbers that can be formed is part a)
therefore,
Probability that the 3-digit number formed is less than 200
= 56 ÷ 504
= 0.111