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Anna [14]
3 years ago
5

The value of x in the proportion 1/2:2/3 = 3/4:x is 1 4/9 1779 14 PLEASE HELP

Mathematics
1 answer:
GenaCL600 [577]3 years ago
6 0

Answer:

x = 1

Step-by-step explanation:

Given

\frac{1}{2} : \frac{2}{3} = \frac{3}{4} : x

Multiply all parts by 12 to clear the fractions

6 : 8 = 9 : 12x , simplifying

3 : 4 = 3 : 4x

Thus

4x = 4 ( divide both sides by 4 )

x = 1

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Answer:

1. The scale factor here is 1.5

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Step-by-step explanation:

Here, we shall be dealing with scales of triangles.

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1. What scale factor translates DEF to ABC?

The ratio of the length can be beaten down to 3:2

So therefore, we can see that by multiplying the sides of of DEF by 1.5, we can arrive at the sides of ABC

So the scale factor here is 1.5

2. This is like the other way round of what we have above.

By multiplying the sides of ABC by 2/3, we shall have the sides of DEF

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