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ozzi
3 years ago
9

Are the two triangles similar? how do you know?

Mathematics
1 answer:
Likurg_2 [28]3 years ago
4 0

Answer:

A. no

Step-by-step explanation:

You might expect to use SAS in showing similarity, but the sides on either side of congruent angles M are in the ratio of 3:4 in one triangle and 2:3 in the other. Corresponding sides do not have the same ratio, so the triangles cannot be similar.

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Answer:

There are 2450 ways.

Step-by-step explanation:

We can pick first the 4 man, and then the 4 women. The configuration of men and women are independant with each other, so the total of possibilities is obtained by multiplying the total possibilities to pick 4 men and the total possibilities of picking 4 women.

To pick 4 men from a group of 8, the total number of possibilities is the amount of ways to pick 4 elements from a group of 8. This number is represented by the combinatorial number of 8 with 4

{8 \choose 4} = \frac{8!}{4!4!} = 70

To pick 4 women from a group of 7, we need to count the total amount of ways to pick 4 elements from a group of 7. This is the combinatorial number of 8 with 7

{7 \choose 4} = \frac{7!}{4!3!} = 35

Hence, the total amount of ways to pick 4 men and 4 women from a group of 8 men and 7 women is 70*35 = 2450.

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3 years ago
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