Answer:
Option A.
Step-by-step explanation:
From the figure attached,
Given : ΔABC ~ ΔDEC
By the property of similarity,
"Corresponding sides of the similar triangles are proportional"

Since, 

6x = 42(32 - x)
6x = 1344 - 42x
6x + 42x = 1344
48x = 1344
x = 
x = 28 units
Therefore, Option (A). x = 28 units will be the answer.
 
        
             
        
        
        
Answer:
y=9x+2
Step-by-step explanation:
The standard form for a linear equation is y=mx+b. m=9 since it is slope and b=2 which is the y intercept. So the equation would be y=9x+2.
 
        
             
        
        
        
Ok so the average is 50
average of x number of things is
(add value of all things)/x=average
4 test scores needed
so divide by 4
3 test scores ar known
average is 50
x= missing score
(43+48+42+x)/4=50
times 4 both sides
133+x=200
minus 133 both sides
x=67
a score of 67 is needed
        
             
        
        
        
It is subtracting the current number by 1/2    OR you can divide by 2. each time.
32 / 2= 16
16 / 2=8
8/2=4
4/2=2
2/2=1
Hope this helped!
        
                    
             
        
        
        
Answer:
A. 15.2%
Step-by-step explanation:
Subtract the new price from the old one to find the dollar amount that the water bottle price was reduced.

The price was reduced by 25 cents, but we need to find the percentage. To do that, we divide the price reduction by the original price. 

And then move the decimal place over two spots (multiply by 100)
15.2