MiddPerf3. Alberto puts 3 kinds of fish in his fish tank: zebra danios, fancyguppies, and catfish. Half of Alberto's fish are ze
bra danios.He has 2 times as many catfish as he has fancy guppies.a. Alberto's friend Jackson says that of Alberto's fish arecatfish. Is Jackson correct? Draw a diagram and explainyour answer
1 answer:
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As the exercise says, the triangles are similar. So, we can set up proportions between correspondent sides.
In order to solve for x we can set up the proportion between the horizontal and vertical sides:
Solving this proportion for x implies
Now you can solve for m and p using the pythagorean theorem, because both triangles are right:
Then, we know that the hypothenuse of the big triangle is m+p, so we have
which implies