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kirill [66]
3 years ago
11

What x-value makes the set of ratios equivalent? Tiles 2 : 3 = 6 : x ,4 : 7 = x : 42 , 2x : 48 = 3 : 12, 12 : 15 = x : 20

Mathematics
2 answers:
Sophie [7]3 years ago
6 0

the first and fifth        

Naya [18.7K]3 years ago
4 0

Step-by-step explanation:

2 : 3 = 6 : x ,

Ratio can be written as

\frac{2}{3} = \frac{6}{x}

2*3 = 6, we multiply top  and bottom of fraction by 3

\frac{2*3}{3*3} = \frac{6}{9}

So value of x=9

4 : 7 = x : 42 ,

\frac{4}{7} = \frac{x}{42}

7*6 = 42, we multiply top  and bottom of fraction by 6

\frac{4*6}{7*6} = \frac{24}{42}

So value of x=24

2x : 48 = 3 : 12,

\frac{2x}{48} = \frac{3}{12}

\frac{3}{12}[/tex] = \frac{2x}{48}12*4 = 48, we multiply top  and bottom of fraction by 4[tex]\frac{3*4}{12*4} = \frac{12}{48}

2x= 12, so x= 6

12 : 15 = x : 20

\frac{12}{15} = \frac{x}{20}

15 * \frac{4}{3} = 20,

we multiply top  and bottom   by 4/3

 12 * \frac{4}{3} = 16

So value of x=16

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