Answer:
The scale factor of the dilation is 2/3
Step-by-step explanation:
point (24,36) to (16,24)
16/24 = 2/3
24/36 = 2/3
Answer
The scale factor of the dilation is 2/3
Write out the numbers between 24 and 33: {24, 25, 26, 27, 28, 29, 30, 31, 32, 33}
How many numbers have we here? 10.
How many of these numbers are odd? {25, 27, 29, 31, 33}
Strictly speaking, "between 24 and 33" does not include {24, 33}.
Thus, the odd numbers between 24 and 33 are {25, 27, 29, 31}
The chances of drawing an odd number between 24 and 33 are then 4 / 10.
If, however, we omit the endpoints 24 and 33, then there are 8 numbers between 24 and 33: {25, 27, 29, 31}
and the odds of choosing an odd number from these eight numbers is 4/8, or 1/2, or 0.50.
1st angle - x⁰
2nd angle - (x+25)⁰
The angles are supplementary,
so
x+x+25=180
2x=155
x=77.5⁰ -1st angle
77.5+25=102.5⁰ - 2nd angle
Answer:
$32
Step-by-step explanation:
A sum of money is divided in the ratio 2:3:7.
Let the share of each individual be represented by 2x,3x,7x respectively.
The largest share (7x) is given as $112.
![\[7x = 112\]](https://tex.z-dn.net/?f=%5C%5B7x%20%3D%20112%5C%5D)
![\[=>x = \frac{112}{7}\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ex%20%3D%20%5Cfrac%7B112%7D%7B7%7D%5C%5D)
![\[=>x = 16\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ex%20%3D%2016%5C%5D)
So the respective shares are ![\[2\times16,3\times16,7\times16\]](https://tex.z-dn.net/?f=%5C%5B2%5Ctimes16%2C3%5Ctimes16%2C7%5Ctimes16%5C%5D)
In other words, the shares are 32,48,112.
So the smallest share is $32
Answer:
A
Step-by-step explanation:
11 3/4 - 8 1/2 = 3 1/4
