Answer:
STUV is a square
Step-by-step explanation:
segment length² = (x-x₁)² + (y-y₁)²
ST²: (-9 - 1)2 + (14 - 10)² = (-10)² + 4² = 116 (the rest follow this formula)
TU² = 116 TV² = 232 SU² = 232 SV² = 116 UV² = 116
ST = TU =SV = UV (4 sides congruent)
TV = SU (diagonal equal)
This is a square
Answer:
Step-by-step explanation:
Alright, lets get started.
![8\frac{1}{2}-3\frac{1}{?}=5\frac{3}{12}](https://tex.z-dn.net/?f=8%5Cfrac%7B1%7D%7B2%7D-3%5Cfrac%7B1%7D%7B%3F%7D%3D5%5Cfrac%7B3%7D%7B12%7D)
These are mixed number given.
Suppose the complete mixed number of second place is x.
Converting mixed numbers into fractions.
![\frac{17}{2}-x=\frac{63}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B2%7D-x%3D%5Cfrac%7B63%7D%7B12%7D)
Adding x in both sides
![\frac{17}{2}=x+\frac{63}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B2%7D%3Dx%2B%5Cfrac%7B63%7D%7B12%7D)
![x=\frac{17}{2}-\frac{63}{12}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B17%7D%7B2%7D-%5Cfrac%7B63%7D%7B12%7D)
Making common denominator
![x=\frac{102}{12}-\frac{63}{12}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B102%7D%7B12%7D-%5Cfrac%7B63%7D%7B12%7D)
![x=\frac{39}{12}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B39%7D%7B12%7D)
![x=\frac{13}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B13%7D%7B4%7D)
In mixed number form:
![x=3\frac{1}{4}](https://tex.z-dn.net/?f=x%3D3%5Cfrac%7B1%7D%7B4%7D)
So comparing with given equation, the '?' sign will be equal to 4.
Hence the answer is 4 : Answer
Hope it will help :)
Simple...
you have: -7=c-6
You want to isolate the variable c
-7=c-6
-7=c-6
+6 +6
-1=c
Thus, your answer.
Answer:
5x -12 = 3x +8 (set the two = each other because they are the same length)
2x- 12= 8 (subtract 3x from both sides)
2x = 20 (add 12 to both sides)
x=10 (what x= for both expressions)
5(10) -12 (plug it into the first one to see what the length is and to see they're =
50 - 12 ( I already multiplied, now subtract)
38 (what the length of TR is)
3(10) +8 (plug it in again but into the other expression)
30+8 (multiply and add)
38 (the two have the same answer, so the x-value is correct.)
38+38= 76 (add the lengths of RS and TR and you get the length of TS)
Step-by-step explanation:
I hope this helps :)
Answer: 33
explanation: 100/3 = 33.333, and since it isn't possible for 0.333 to be three different students being picked, there are only 33 different ways.