Question

the scale factor of triangle a to triangle b is 1:$4\frac{1}{2}$. what is the value of x? x =

Explanation:

Step1: Convert mixed number to fraction

$4\frac{1}{2} = \frac{9}{2}$

Step2: Set up scale factor equation

$\frac{\text{Side of A}}{\text{Side of B}} = \frac{1}{\frac{9}{2}}$
$\frac{5}{x} = \frac{2}{9}$

Step3: Solve for x via cross-multiplication

$2x = 5 \times 9$
$2x = 45$
$x = \frac{45}{2}$

Step4: Simplify to mixed number (or decimal)

$x = 22\frac{1}{2}$ or $22.5$

Answer:

$x = 22.5$ (or $x = 22\frac{1}{2}$)