Answer: AB = 12.5, BC = 15
<u>Step-by-step explanation:</u>
Perimeter of ΔBCD = BC + CD + BD. Since it is an isoceles triangle, then BC = CD = BD. So, Perimeter of ΔBCD = 3BC
3BC = 45
<u>÷3   </u>    <u>÷3 </u>
  BC = 15
Perimeter of ΔABC = AB + BC + AC.  Since it is an isosceles triangle with BC as the base, then AB = AC. So, Perimeter of ΔABC = 2AB + BC
2AB + BC = 40
2AB + 15 = 40
<u>          -15</u>  <u> -15 </u>
2AB       = 25
<u>÷2         </u>   <u>÷2  </u>
       AB  = 12.5
 
        
             
        
        
        
Answer: 0; -2
Step-by-step explanation:
Data: y-intercept=x and slope=x
Equation=y=-2
Only step, Point out the y-intercept and slope
-2=y-intercept
0=slope
Reason: Since there is no visible slope, the placeholder would be 0 therefore the slope would be 0, -2 is the only number left so that means the only number that can be y-intercept is -2. 
That is why the slope is 0 and the y-intercept is -2
I hope this helps!
 
        
             
        
        
        
Given:
7 red candies
9 blue candies
12 pink candies
Condition:
Number of bags that has equal number of candies.
We can do 7 bags with 1 colored candy each. There will be an excess of 2 blue candies and 5 pink candies.
We can do 4 bags with 1 red candy, 2 blue candies, 3 pink candies. There will be an excess of 3 red candies and 1 blue candy.
We can do 3 bags with 2 red candies, 3 blue candies, 4 pink candies. There will be an excess of 1 red candy.
        
             
        
        
        
Answer:
Lines a and c have the same slope, so they are parallel. Write an equation of the line that passes through (5, −4) and is parallel to the line y = 2x + 3. Step 1 Find the slope of the parallel line. The graph of the given equation has a slope of 2.