Answer:
The area of APC is 70m². The area of triangle PMC is 35m².
Step-by-step explanation:
Let the area of triangle ABC be x.
It is given that AM is median, it means AM divides the area of triangle in two equal parts.
.....(1)
The point P is the midpoint of AB, therefore the area of APC and BPC are equal.
......(2)
The point P is midpoint of AB therefore the line PM divide the area of triangle ABM in two equal parts. The area of triangle APM and BPM are equal.
.....(3)
The area of triangle APM is 35m².
Therefore the area of triangle ABC is 140m².
Using equation (2).
Therefore the area of triangle APC is 70m².
Using equation (3), we can say that the area of triangle BPM is 35m² and by using equation (2), we can say that the area of triangle BPC is 70m².
Therefore the area of triangle PMC is 35m².
Answer:
2
Step-by-step explanation:
I count five 'k's there, so that part of the expression is
k⁵ .
Two 'n's form the rest of it, so that part is n² .
The parts are multiplied, so the simplest form of the expression is
k⁵ n² .
The equation 0.15 x + 150 ≥ 450 will help Teagan determine how much he has to sell today ⇒ A
Step-by-step explanation:
The given is:
- The computer store pays its employees $150 per day plus a commission of 15% of their sales
- Teagan wants to make at least $450 today
We need to find which equation will help Teagan to determine how much he has to sell today
Assume that he has to sell by $x today
∵ The store pays $150 per day plus a commission of 15%
of their sales
∵ Teagan's total sales = x
- Multiply 15% by x, then add the product by 150
∴ Teagan makes = 15% × x + 150
∵ 15% × x = 
× x = 0.15 x
∴ Teagan makes = 0.15 x + 150
∵ Teagan wants to make at least $450 today
- At least means ≥
∴ Teagan makes ≥ 450
- Substitute Teagan makes by 0.15 x + 150
∴ 0.15 x + 150 ≥ 450
The equation 0.15 x + 150 ≥ 450 will help Teagan determine how much he has to sell today
Learn more:
You can learn more about the linear inequality in brainly.com/question/6703816
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