Answer:
[tex]x = 26.25[/tex] inches
Step-by-step explanation:
Since we know the triangles are similar, we can simply set up ratios to find the length of side length 'x'.
[tex]\frac{15.75}{x} = \frac{9}{15}[/tex]
Cross multiply:
[tex]236.25 = 9x[/tex]
Divide both sides by '9' to solve for 'x':
[tex]\frac{236.25}{9} = \frac{9x}{9}[/tex]
[tex]x = 26.25[/tex]
Therefore, side length 'x' equals 26.25 in.
