Firstly, we need to draw triangle
we know that
O is a centroid
and centroid divides median into 2:1
so,
we have FO=4
so, we can plug it
now, we can find CF
CF=OC+FO
CF=8+4
CF=12
now, we can see triangle ACF is a right angled triangle
so, we can use pythagoras theorem
now, we can solve for x
Since, it is equilateral triangle
so,
we know that
E is a mid-point
so,
now, we can plug values
................Answer
Answer:
Option C. Marcelina spends less that the intended amount of money and buy the correct amount of corn
Step-by-step explanation:
<u><em>The complete picture of the question in the attached figure</em></u>
Let
x----> is the amount of white corn she buys
y ---> is the amount of yellow corn she buys
we know that
She needs to buy 50 kg of corn in total
so
----> equation A
She wants to spend $12 dollars total
so
----> equation B
The solution of the system of equations is the intersection point both graphs
The solution is the point (30,20)
That means
Marcelina needs to buy 30 kg of white corn and 20 kg of yellow corn
we have the ordered pair D(15.35)
That means
15 kg of white corn and 35 kg of yellow corn
therefore
Total kg of corn bought is
Total spend is
therefore
Marcelina spends less that the intended amount of money and buy the correct amount of corn
