Answer:
Since the interior angles of a triangle add up to be 180 degrees, I set up the equation like so:
x + 59 + x + 51 + 84 = 180 My equation
2x + 194 = 180 add like terms
2x = -19 subtract 194 from both sides of the equation
x = -7 divided both by 2x to get x alone
It has occurred to me that I am finding x here (it still makes no sense to get a negative number) but this is the only equation I know to set up.
Notes:
This is for geometry homework and I realize just asking you to solve my problems is academically dishonest off topic if I have not put genuine effort into the question, which I have (put effort in, that is). I have put a lot of mental effort into figuring this out, though, so I will tell you what I did and hopefully you can tell me where I went wrong and how to correct my mistake, because I think it is obvious I made one. For the record I accidentally deleted my math notes from my iPad and Googling the question this morning produces hard to understand results. My geometry teacher was unavailable while I was working last night due to my lack of internet connection.
Answer:
720 possible orders
Step-by-step explanation:
To order 6 people in a line, let's imagine them as 6 possible spaces:
( )( )( )( )( )( )
Going from left to right, let's start with space 1.
There are 6 possibilities for space 1 as any of the 6 people could occupy that space in the line.
(6)( )( )( )( )( )
Next, since one person will have already occupied space 1, there are only 5 people left who can occupy space 2, so there are 5 possibilities for space 2:
(6)(5)( )( )( )( )
Continuing in this fashion, there are now only 4 people left so 4 possibilities for space 3 and etc.
(6)(5)(4)(3)(2)(1)
This means we have 6,5,4,3,2 and 1 possibilities for each space respectively.
Multiply them together and we have:
6x5x4x3x2x1 = 720 possible orders.
Hope this helped!
Answer:
T= (9)($.25) + $6.75
Step-by-step explanation:
total cost = 9($.25) + $6.75