The value of AD in triangle ABC is approximately 9 cm.
BC = 6cm
Using trigonometric ratio for triangle CBD
sin 60° = opposite / hypotenuse
0.86602540378 = DC / 6
cross multiply
DC = 6 × 0.86602540378
DC = 5.19615242271
DC = 5.20 cm
Let's find side AD as follows:
tan 60° = AD / adjacent
AD = 5.20 × tan 60°
AD = 9.00666419936
AD ≈ 9 cm
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Answer:
x =5
Step-by-step explanation:
We can use ratios for the side lengths
9 x
--------- = -----------
9+18 x+10
Using cross products
9 (x+10) = x * (9+18)
Distribute
9x+90 = x*27
9x+90 = 27x
Subtract 9x from each side
9x-9x+90 = 27x-9x
90 = 18x
Divide each side by 18
90/18 = 18x/18
5 =x
From the Venn diagram, we can gather that there are 35 total objects (6 in both A and B; 15 in A but not B; 10 in B but not A; and 4 in neither A nor B), and we have the probabilities

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By definition of conditional probability,

