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Otrada [13]
3 years ago
6

Read each of the statements that describe possible decompositions of the polygon in the image into two triangles that can repres

ent the area of the polygon For each statement, determine if "Yes, it is a possible decomposition" or "No, Is it not a possible decomposition and explain your reasoning.
Statement A: the area of triangle GHL plus of triangle HIJ

Statement B: the area of triangle GHK plus the area triangle HIK

Statement C: the area of triangle GHK plus the area of triangle ILK

Statement D: the area of triangle GHK plus the area of triangle ILK
​

Mathematics
1 answer:
jasenka [17]3 years ago
4 0
Need more information
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Answer:

missing side length is 12

Step-by-step explanation:

similar means that all correlating pairs of sides have the same ratio (old side length) / (new side length).

so, when we know the ratio of one pair, we can apply it to any other side to calculate the correlating side.

we see, when we go from small to large, that we have the ratio 32/40 = 4/5.

so, multiplying the larger side by this, we get the shorter side.

15 × 4/5 = 3 × 4 = 12

the proportion part in your picture is a bit confusing :

yes,

x/15 = 32/40 = 32/40

I don't know, why this last expression was repeated.

x/15 = 32/40

x = 15×32/40 = 15×4/5 = 3×4 = 12

as you see we get of course the same result doing it that way.

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3 years ago
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