Answer:
434
Step-by-step explanation:
We can think of this problem like this:
![\frac{percentage}{100} * number = newnumber](https://tex.z-dn.net/?f=%5Cfrac%7Bpercentage%7D%7B100%7D%20%20%2A%20number%20%3D%20newnumber)
in this case, our percentage is 140, and our number is 310.
So lets plug in our values and solve!
![\frac{140}{100} * 310 = newnumber](https://tex.z-dn.net/?f=%5Cfrac%7B140%7D%7B100%7D%20%2A%20310%20%3D%20newnumber)
=
![1.4*310 = newnumber](https://tex.z-dn.net/?f=1.4%2A310%20%3D%20newnumber)
=
![1.4*310 = 434](https://tex.z-dn.net/?f=1.4%2A310%20%3D%20434)
Hope this helps! :3
Note:
This formula can be changed depending on what your trying to find.
For instance, if you had one hundred and forty percent of what number is 310, we could rewrite this formula as:
Which then would equal
![\frac{100}{140}*310= \frac{310}{1.4}= 221.43](https://tex.z-dn.net/?f=%5Cfrac%7B100%7D%7B140%7D%2A310%3D%20%5Cfrac%7B310%7D%7B1.4%7D%3D%20221.43)
Hope this all helps! :3
if you have any other questions, feel free to let me know!
Dilation because it could become bigger or smaller so it would be similar but not congruent.
Sas......................
Answer and Step-by-step explanation:
The sides we have are 7,
, and
.
The square root of 80 is less than 9 but greater than 8 (because
is 64,
is 81, and 80 is in between those two values), and the square root of 31 is definitely less than the square root of 80.
So,
is the longest side.
1) The square of
is: ![(\sqrt{80} )^2=80](https://tex.z-dn.net/?f=%28%5Csqrt%7B80%7D%20%29%5E2%3D80)
2) The sum of the squares of the two shorter sides is:
![7^2+(\sqrt{31} )^2=49+31=80](https://tex.z-dn.net/?f=7%5E2%2B%28%5Csqrt%7B31%7D%20%29%5E2%3D49%2B31%3D80)
3) Since the square of the longest side is equal to the sum of the squares of the two shorter sides, by the Pythagorean Theorem, the triangle is a right triangles.
Hope this helps!