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:
Acute angle
Step-by-step explanation:
Given that m<C =
, to find out the type of angle angle C is, evaluate the expression given by substituting x = 13, in the expression.
m<C = 
m<C = 
m<C = 
m<C = 76°
Acute angles are less than 90°.
m<C is less than 90°, therefore it is an acute angle.
a simple way to do away with denominators, is we can simply multiply both sides by the LCD, in this case the LCD is 3, so let's multiply both sides by 3.

The x is going to be a negative number to get the 3. so start off minus 5 from plus 5 and minus five from the other side too. the positive 5 and the negative cancel out and then take it fromt here with three and the negative 5.