BC/DC = 8/3.2 = 2.5
AB/BD = 12.5/5 = 2.5
AC/BC = 20/8 = 2.5
Since the results are all 2.5, this means that the triangles are similar triangles.
The justification you would use is the SSS similarity theorem.
SSS = side side side
You would need to do this with a graphing calculator
Answer:
The ratio of the number of mangoes in the $3 stack to those in the $6 stack is 1 : 2
Step-by-step explanation:
Let the number of mangoes bought by the grocery store be n. Also let the number of mango sold for $3 in one stack be x and the number of mango sold for $6 in the second stack be y.
Therefore:
x + y = z (1)
Also, the mangoes was sold at break even price, that is the cost of the mango and the price it was sold for was the same. Therefore:
Cost of buying = Price it was sold for
The cost of the mango = 5z and the price it was sold for = 3x + 6y
3x + 6y = 5z (2)
Substituting z = x + y in equation 1
3x + 6y = 5(x + y)
3x + 6y = 5x + 5y
6y - 5y = 5x - 3x
y = 2x
x / y = 1/ 2 = 1 : 2
The ratio of the number of mangoes in the $3 stack to those in the $6 stack is 1 : 2
I would help but i don’t see a figure
X=-2y+6
-2y+6+y=10
-y+6=10
-y=4
y=-4
X=14
2(14) + 2(-4)=28- -8=28+8=36
Answer is 36 I think
