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dlinn [17]
3 years ago
9

Triangles PQR and FGH are similar and PQ/FG=1/4.

Mathematics
2 answers:
Fittoniya [83]3 years ago
8 0

Similar triangles with a ratio of r in the linear dimension will have a ratio of r^2 in area.  So we're looking for (1/4)^2 = 1/16, Choice D


Ainat [17]3 years ago
7 0
Hello!

Since these triangles are similar, each side length of the smaller will have a ratio of 1/4 in relation to the larger. Therefore the area would also be A)1/4 ratio.

I hope this helps!
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Answer:

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Step-by-step explanation:

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tresset_1 [31]

The product of 4√27 and 5√3 in simplest form is 180. Thus, the result obtained is a rational number

<h3>Surd operation</h3>

Surd multiplication can be carried out as illustrated below:

a√b × c√d = (a × c)√(b × d)

<h3>How to determine the product of 4√27 and 5√3</h3>

The product of 4√27 and 5√3 can obtained as illustrated below:

a√b × c√d = (a × c)√(b × d)

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But

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Thus,

4√27 × 5√3 = 20 × 9

4√27 × 5√3 = 180

Therefore, the product of 4√27 and 5√3 is 180

<h3>What are rational numbers?</h3>

These are number that are expressed as a ratio of two integers inwhich the denominator is not equal to zero

Considering that the product of 4√27 and 5√3 is 180, we can thus say that 180 is a rational number since it can be written as 180 : 1 (or 180 / 1)

Therefore, was can conclude that the result obtained from the product of 4√27 and 5√3 is a rational number

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