The measure of the angle is 20
        
             
        
        
        
First, Alvin gave Joyce and Sean 2/3 of the remainder, to solve first find the common denominator, which in this case is 24. Then, 1/3=?/24, 24/3=8 so it is 8/24 for the total given by Alvin. Joyce got 5/8, 5/8=?/24, 24/8=3,3 x 5=15, 15/24.
15/24 - 8/24=  7/24 is the answer
        
             
        
        
        
Ok let us assume x= the width of the table top
the length is 4 times the width meaning we are multiplying 4 and the width
which is x
length = 4x
your first equation would be the following:
4x+4x+x+x= whatever the perimeter is
if you drew a rectangle it would help you understand the above.
this represents the perimeter of the tabletop because we know the width is x. if you drew the rectangle there wouldn't be 1 width. opposite to the width is another line. same with the length. the length is 4x again there are 2 because in a rectangle there are 2 sets of parallel lines. that is why your equation would be 4x+4x+x+x= whatever the perimeter is- you could simplify this equation and write:
10x= whatever the perimeter is
x basically means 1x but in math we generally don't write that because we tend to write most things in simplest for.
hope this helps :)
        
             
        
        
        
Sorry just needed points to use this app
        
             
        
        
        
Answer:

Step-by-step explanation:
So when x and y, vary inversely, it means that the product of x and y will remain constant such that:  . This means that the function can be defined as
. This means that the function can be defined as  by dividing both sides by x. In this case x=12, and y=8, this means the constant is equal to 12 * 8 which is 96. So we have the equation:
 by dividing both sides by x. In this case x=12, and y=8, this means the constant is equal to 12 * 8 which is 96. So we have the equation:   , which can be defined as
, which can be defined as 