Triangles A B C and N M L are shown. Angles B A C and L N M are right angles.
1 answer:
The additional information needed to prove both triangles are similar are:
A. ∠B ≅ ∠M
C. △ABC was rotated and dilated by a scale factor between 0 and 1
E. ∠C ≅ ∠L
<h3>What are Similar Triangles?</h3>When a triangle is rotated and dilated by a scale factor, the new triangle formed has the same shape but different size of the original triangle. However, all its corresponding angles remains congruent.
Thus, for triangles ABC and NML to be similar to each other, since we already known each have one congruent right angles, the additional information needed are:
A. ∠B ≅ ∠M
C. △ABC was rotated and dilated by a scale factor between 0 and 1
E. ∠C ≅ ∠L
Learn more about similar triangles on:
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Answer:
A. 14x14x28
B. The maximum volume is 5488 cuibic inches
Step-by-step explanation:
The problem states that the box has square ends, so you can express volume with:
Using the restriction stated in the problem to get another equation you can substitute in the one above:
Substituting <em>y</em> whit this equation gives:
Now find the limit of <em>x</em>:
Find the length:
You can now calculate the maximum volume: