<h3>
Answer: FC = 16</h3>
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The three medians of this triangle are:
These segments go from one vertex to the midpoint of the opposite side.
The median we'll focus on is PF.
The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC
In other words,
CF = 2*PC
This means,
PF = PC+CF .... segment addition postulate
PF = PC+2*PC ... replace CF with 2*PC
PF = 3*PC .... combine like terms
So the median PF is three times the length of its portion PC
We're told that PF = 24
We can then find the following:
PF = 3*PC
24 = 3*PC
3*PC = 24
PC = 24/3
PC = 8
Then we double this to get the length of CF
CF = 2*PC
CF = 2*8
CF = 16
This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.
The final answer is 16.
Remember you can do anything to an equaiton as long asyou do it to both sides
4v+18≥6v+10
minus 4v both sides
4v-4v+18≥6v-4v+10
0+18≥2v+10
18≥2v+10
minus 10 both sides
18-10≥2v+10-10
8≥2v+0
8≥2v
divide both sides by 2
8/2=(2v)/2
4≥(2/2)v
4≥1v
4≥v
v≤4
Think of when If you cross two lines you get a point where they meet
A point is a solution.
So if the lines never cross, then they would have no point, or A, No Solution
Answer:
17.0604
Step-by-step explanation:
I recommend to round to 17. Hope this helped!
Answer:
D
0.4
Step-by-step explanation:
P(A)=0.6
P(B)=0.3
P(B∩A)=0.5
P(A∪B)=P(A)+P(B)-P(A∩B)
P(A or B)=P(A∪B)=0.6+0.3-0.5=0.9-0.5=0.4
