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A photographer has a print that is 3. 5 inches wide and 2. 5 inches tall. If the photographer enlarges the print so that it is 7 inches wide, how tall will it be? 5 inches 6 inches 8 inches 12 inches.

Sagot :

MrRoyal

Enlarging the print is an illustration of dilation and scale ratios

The print will be 5 inches tall

The dimension of the print is given as:

[tex]\mathbf{Width = 3.5}[/tex]

[tex]\mathbf{Height = 2.5}[/tex]

After the print is enlarged, the width is given as:

[tex]\mathbf{Width = 7}[/tex]

To calculate the height (h) of the enlarged print, we make use of the following equivalent ratio

[tex]\mathbf{3.5 : 2.5 = 7 : h}[/tex]

Multiply the ratio on the left-hand side by 2

[tex]\mathbf{3.5 \times 2: 2.5 \times 2 = 7 : h}[/tex]

Simplify

[tex]\mathbf{7: 5 = 7 : h}[/tex]

By comparing the ratios, we have:

[tex]\mathbf{7 = 7}[/tex]

[tex]\mathbf{5 = h}[/tex]

Rewrite as:

[tex]\mathbf{h = 5 }[/tex]

Hence, the height of the print is 5 inches

Read more about dilations at:

https://brainly.com/question/13176891

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