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expeople1 [14]
3 years ago
15

IM HOMESCHOOLED AND I NEED SOME HELP WITH THIS QUESTION. ANYONE PLEASE HELP. my teacher won’t help me :(

Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0

Answer:

GI = 18;   GE = 12; IE = 6

Step-by-step explanation:

The key to the question is to realize or find out what a centroid is and what it does. You can solve this question by knowing three things.

  1. The centroid is the meeting point of the three medians ( a median is a line that connects the midpoint of the side opposite a given vertex).
  2. The centroid divides the median in a ratio of 2:1. The longest segment is from the vertex to the centroid.
  3. The shortest segment is from the centroid to the midpoint of the side opposite the given vertex.

Point two is what you have to focus on.

GE/EI = 2/1

GE = 12                        Given

Solution

GE / EI = 2/1                 Substitute for the given    

12 / EI = 2/1                  Cross multiply

2*EI = 12 * 1                  Simplify the right

2 * EI = 12                     Divide by 2      

EI = 12/2                        Divide

Part Two

GI = EI + GE

GI = 6 + 12

GI = 18  

EI = 6

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Answer:

Perimeter of polygon B = 80 units

Step-by-step explanation:

Since both polygons are similar, their corresponding sides and perimeters are proportional. Knowing this we can setup a proportion to find the perimeter of polygon B.

\frac{side-polygonA}{side-polygonB} =\frac{perimeter-polygonA}{perimeter-polygonB}

Let x be the perimeter of polygon B. We know from our problem that the side of polygon A is 24, the side of polygon B is 15, and the perimeter of polygon A is 128.

Let's replace those value sin our proportion and solve for x:

\frac{side-polygonA}{side-polygonB} =\frac{perimeter-polygonA}{perimeter-polygonB}

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x=80

We can conclude that the perimeter of polygon B is 80 units.

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