Answer: The area of ABC is 56 m².
Explanation:
It is given that in △ABC, point P∈ AB is so that AP:BP=1:3 and point M is the midpoint of segment CP.
Since point P divides the line AB in 1:3, therefore the area of triangle APC and BPC is also in ratio 1:3. To prove this draw a perpendicular h on AB from C.

Since the area of BPC is
th part of total area, therefore area of APC is
th part of total area.
The point M is the midpoint of CP, therefore the area of BMP and BMC is equal by midpoint theorem.


Area of BPC is,



Area of APC is,



Area of ABC is,


Therefore, the area of ABC is 56 m².
We see that the slope intercept is y = 8x - 20. So if we substitute x with 2, because x represents the amount of necklaces sold and we are analyzing her net profit after selling 2 necklaces, that gives us y = 8(2) - 20. Which simplifies to y = -4. So by the time Jocelyn sells 2 necklaces, her net profit will be at -4.
Answer:
3.20 per yard because there are 36inches in a yard 36×0.5=5.40
Answer:
width 9'' length 9''
Step-by-step explanation:
2 " is cut off from both sides
so the base of the box will be a square
area * height = volume of box
side = x
height =2
2x^2=162
x^2=81
x=9 inches the side of the box
Volume =162
V=area*height V= 81*2= 162