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kolbaska11 [484]
2 years ago
15

I do not understand how to work out this question please help

Mathematics
1 answer:
enot [183]2 years ago
8 0

a) To find the missing side length on triangle A, we can use the Pythagorean theorem.

a^2 + 12^2 = 13^2

a^2 + 144 = 169

a^2 = 25

a = 5 cm

5 and 12 = 5 and 12

b) The two triangles are congruent because they have two side lengths in common. If at least two side lengths are the same on two triangles, then they are congruent. In addition, these triangles have one angle in common as well.

Hope this helps!! :)

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Step-by-step explanation:

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n(S) = number of ways of selecting 3 partners from 13 = 13C3

n(S) = 13C3 = 13!/(10!3!) = (13x12x11)/(3x2x1) = 286

To get n(E) i.e least 1 junior partner in the selected committee, we may have:

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Therefore, the required number of way is given below:

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= [(6x5)/2 x 7] + [6 x (7x6)/2] + [(7x6x5)/(3x2)]

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Therefore, the probability P(E) that at least one of the junior partners is on the​ committee is given below:

P(E) = n(E) /n(S)

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