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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
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