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eimsori [14]
3 years ago
7

There are 8 students in our Math class left to give their presentations. Today

Mathematics
1 answer:
NeX [460]3 years ago
4 0

Answer:

Option A. 56

Step-by-step explanation:

The question talks about chosing 5 presenters out of 8 presenter.

This can be achieved b using the following formula:

nCr = n! /r! (n–r)!

n = 8

r = 5

8C5 = 8! / 5! (8 – 5)!

8C5 = 8! / 5! 3!

8C5 = (8 x 7 x 6) / (3 x 2 x 1)

8C5 = 56

Therefore, there are 56 ways in which the teacher can chose the presenters.

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Answer:

∠A = 70°, ∠B = 50°, and ∠C = 60°.

Step-by-step explanation:

In a triangle ΔABC, ∠A + ∠B + ∠C = 180° ......... (1), we know from the property of triangle.

Now, the sum of ∠C and the exterior angle adjacent to ∠C is 180°.

If the exterior angle adjacent to ∠C is 120°, then ∠C = 180° - 120° = 60°.

Now, from equation (1), ∠A + ∠B = 180° - ∠C = 180° - 60° = 120° ......... (2)

Now, given that ∠A = 2x and ∠B = x + 15.

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∠B = x + 15 = 35 + 15 = 50°

and ∠C = 60° (Answer)  

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