Daniel claims that any two right triangles can be proven to be similar by the sas similarity theorem because both have right ang
2 answers:
SAS similarity theorem: When two triangles have
corresponding angles that are congruent and corresponding sides
with identical ratios, the triangles are similar.
Two right angles are always congruent, but corresponding sides not always have identical ratios. For example, first right triangle has two legs of 3 and 4 lengths. Second triangle has two legs of 5 and 12 lengths. Then
. That is the mistake.
Two right angles are always congruent, but corresponding sides not always have identical ratios. For example, first right triangle has two legs of 3 and 4 lengths. Second triangle has two legs of 5 and 12 lengths. Then
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Answer:
(a) 0.4242
(b) 0.0707
Step-by-step explanation:
The total number of ways of selecting 8 herbs from 12 is
(a) If 2 herbs are selected, then there are 8 - 2 = 6 herbs to be selected from 12 - 8 = 10. The number of ways of the selection is then
Note that this is the number of ways that both are included. We would have multiplied by 2! if any of them were to be included.
The probability =
(b) If 5 herbs are selected, then there are 8 - 5 = 3 herbs to be selected from 12 - 5 = 7. The number of ways of the selection is then
This is the number of ways that both are included. We would have multiplied by 5! if any of them were to be included. In that case, our probability will exceed 1; this implies that certainly, at least, one of them is included.
The probability =