Jacob went on a fishing trip. This year he caught 30 fish, which is six more than twice the number he caught last year. How many
1 answer:
Answer:
12 fish
Step-by-step explanation:
You need to work this problem backwards. If he caught 30 fish, which was six more than twice the number he caught last year, you would start by subtracting six, leaving you with 24. Then you'd have to divide by 2, because it was twice plus six as many fish, which would give you 12 fish.
= x
= x
12 = x
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Refer to my drawing . Unlike most textbook problems, the triangles were drawn to scale. Side lengths 2a and side 2b are indeed proportional to side lengths a and b, respectively. It is obvious that the triangles are not similar. This is a counterexample that proves SS Similarity does not hold true.
There is no SS Similarity.
There is SAS Similarity.
To prove two triangles similar you need one of the following three situations:
1. The lengths of three sides of one triangle proportional to lengths of the three sides of the other triangle. (SSS Similarity Theorem)
2. Two angles of one triangle congruent to two angles of another triangle. (AA SImilarity Theorem)
3. The lengths of two sides of one triangle proportional to the lengths of two sides of another triangle, and their included angles congruent. (SAS Similarity Theorem)
