Let x be the length of third side.
12 + x > 13
x > 1-------------(1)
13 + x > 12
x > -1 ------------(2)
by combining (1) and (2)
we have x > -1
Answer:
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Step-by-step explanation:
Answer:
2 x = y + 7
y = 2 x - 7
Step-by-step explanation:
because you can rewrite it as:
2 x - y - 7 = 0
then you can find the 2 X answer and fill that in to find y
Answer:
<h2>The volume of the larger prims is eight times greater than the smaller prism.</h2>
Step-by-step explanation:
If the scale factor of the larger prims to the smaller prism is 3, that means each side is triple.
We know the a triangular prims has a volume defined by
![V_{small} =\frac{b \times h_{1} }{2} \times h_{2}](https://tex.z-dn.net/?f=V_%7Bsmall%7D%20%3D%5Cfrac%7Bb%20%5Ctimes%20h_%7B1%7D%20%7D%7B2%7D%20%5Ctimes%20h_%7B2%7D)
If we take that formula as the smaller prism, then the larer prism has a volum of
![V_{large} =\frac{2b \times 2h_{1} }{2} \times 2h_{2}=8(\frac{b \times h_{1} \times h_{2} }{2} )](https://tex.z-dn.net/?f=V_%7Blarge%7D%20%3D%5Cfrac%7B2b%20%5Ctimes%202h_%7B1%7D%20%7D%7B2%7D%20%5Ctimes%202h_%7B2%7D%3D8%28%5Cfrac%7Bb%20%5Ctimes%20h_%7B1%7D%20%5Ctimes%20h_%7B2%7D%20%20%7D%7B2%7D%20%29)
If we compare, we can deduct that
![V_{large}=8V_{small}](https://tex.z-dn.net/?f=V_%7Blarge%7D%3D8V_%7Bsmall%7D)
In words, the volume of the larger prims is eight times greater than the smaller prism.