Step-by-step explanation:
let the angles be ' 7x, 8x and 5x'
as we know, the sum of all the angles of a triangle is 180 degree, so,
7x + 8x + 5x = 180
20 = 180
x = 180/2
x = 90 degrees
7x = 7 × 90 = 630 degree
8x = 8 × 90 = 720 degrees
5x = 5 × 90 = 540 degrees
therefore, 5x is the smallest degrees
Answer:
A) it increases the mean value of the prizes.
Step-by-step explanation:
The median is resistant to large outliers, so it does not change if there is an especially large or small value. So, we can eliminate choices C and D.
I am actually not sure whether the data in the table count $100 as a large prize or a small one, but I am <em>assuming</em> it is a large prize. So, an extremely large prize would increase the mean value of the prizes.
Hope this helps!
Step-by-step explanation:
I won't be answering all of them because that's a lot, but I'll try and help you on how to do them.
So, factorising means you put the equation into brackets.
The easiest way to work these out would be to look at the pairs of numbers that multiply to make the last number in the equation (so for 2a: 1x2 is the only option, for 2b: 1x4, 2x2, 4x1 for 2c: 1x30, 2x15, 3x10, 5x6 etc)
The next step is to look at the pairs and see which ones could add or subtract to make the number in the middle of the equation
(So for 2a: 1+2=3, 2b: 1+4=5, 2c: 3+10=13)
Then put those numbers into the brackets, with the + or - that you just did
So 2a: (x+1)(x+2)
2b: (m+1)(m+4)
2c: (a+3)(a+10)
etc
R = b+180
<span>b = .2(r+b) </span>
<span>so, </span>
<span>b = 60 </span>
<span>r = 240 </span>
<span>Total beans = 300 oz </span>
<span>After the transfer, 30% = 90 oz</span>