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Nina [5.8K]
3 years ago
8

In △ABC, GE=27 in. What is the length of BE¯¯¯¯¯? Enter your answer in the box. 81 in. An acute triangle A B C is drawn. E is th

e midpoint of side A C. Segment A E and segment C E are labeled with double tick mark. F is the midpoint of side A B. Segment A F and segment F B are labeled with single tick mark. D is the midpoint of side B C. Segment B D and segment C D are labeled with triple tick mark. Line segment A D and C F and B F are medians of the triangle. Medians intersect with each other at an interior point labeled as G.
Mathematics
2 answers:
mariarad [96]3 years ago
5 0
Recall that the centroid of a triangle (the point where the three medians intersect) divides each median into parts in the ratio 2:1, with the centroid being twice as close to the midpoint of a side as it is to the opposite vertex.

Thus, the ratio of segment EG to segment BG is 1 : 2

Therefore, given that segment EG = 27 in, then segment BG = 2(27) = 54 in. and segment BE = 27 + 54 = 81 in.
Snowcat [4.5K]3 years ago
5 0
Any chance you know the answer? I have the same exact problem and I've solved it and checked it two times already but this is the last chance I have to take the k12 quiz and I just really need to get all points.
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krek1111 [17]
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3 years ago
What is the equation of this line?
andrew-mc [135]
One way to write a line is y=mx+b, where b is a number, m is the slope of the line, and y and x are variables that you can plug numbers into. We know that we have two points, (0,5) and (10,0). To find the slope of a line, we can use the equation
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Plugging this in for our points, we get \frac{0-5}{10-0} = -5/10=-1/2 as our slope (we get -1/2 by dividing both -5 and 10 by 5 from the previous fraction), making our equation y=(-1/2)x+b. Plugging a point in to find out what b is, we get 0=(-1/2)10+b=-5+b. Adding 5 to both sides to separate the b, we get 5=b, making our equation y=(-1/2)x+5. To find out what x is for (x,2), since the y value comes second, we can plug in 2 into our equation to get 2=(-1/2)x+5. Since we want to solve for x, we have to separate it. Subtracting 5 from both sides, we get -3=(-1/2)x. Since we can multiply -1/2 by its reciprocal (switching the numerator and denominator) to get 1 (and therefore x on the right sides as 1*x=x), we multiply both sides by -2 to get 6=x, making the point (6,2)

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4 0
3 years ago
I need help on this ASAP so please help
In-s [12.5K]

Answer:

it’s 8 and 2 and 4 and 0

Step-by-step explanation:

this is because when you multiply 2x the x is an 8 so 2 times 8 is 16 then minus 2 is 14 which is greater than -4 same for my other answer

7 0
2 years ago
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