Answer:
x=14
Step-by-step explanation:
Similar Shapes
Two figures that have the same shape are said to be similar.
If two figures are similar, the ratios of the lengths of their corresponding sides are equal.
We are given two similar shapes and the lengths of two corresponding sides:
25 corresponds to 30
60 corresponds to 5x+2
According to the definition:
[tex]\displaystyle \frac{5x+2}{60}=\frac{30}{25}[/tex]
Multiplying by 60*25:
[tex]25(5x+2)=60(30)[/tex]
Operating:
[tex]125x+50=1800[/tex]
Subtracting 50:
[tex]125x=1800-50=1750[/tex]
Dividing by 125:
[tex]x = 1750/125 =14[/tex]
x=14
