Answer:
The volume ratio of the enlarged prism to the original prism is equal to

Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z------> the scale factor
x-----> the volume of the enlarged prism
y-----> the volume of the original prism
so

we have


substitute

-----> volume of the enlarged prism
the volume ratio of the enlarged prism to the original prism is equal to

Verify
-----> is correct
Collect like terms
5n+12n=6
divide both sides
17n=6
solution:
n=6/17
Answer:
i can't see it it's turned sideways, sorry!!!!!
Step-by-step explanation:
C.6 is your answer. half of 4 is 2, and your smaller triangle is 2 and 3, half of 6 is 3.
By Pythagorean theorem we find that the length of the hypotenuse is
.
<h3>How to find the length of the hypotenuse</h3>
In the image attached we have a <em>right</em> triangle with two legs of <em>same</em> length. The hypotenuse of <em>right</em> triangles can be found by Pythagorean theorem, whose form is:

, where l is the length of the legs.
By Pythagorean theorem we find that the length of the hypotenuse is
.
To learn more on Pythagorean theorem: brainly.com/question/26183488
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