Math / Geometry

Question $\text{Find the value of } X \text{ in each pair of similar figures.}$ $\text{Given:}$ $S = 15 \text{ in, } R = 20, \text{ and } T = X$ $N = L = 20 \text{ in, } M = 12 \text{ in}$ $\text{Assume the figures are similar and use the proportions to solve for } X.$

Studdy Solution
Solve the proportion for $X$ :
First, cross-multiply to solve for $X$ :
$15 \times 12 = 20 \times X$
Simplify the equation:
$180 = 20X$
Divide both sides by 20 to solve for $X$ :
$X = \frac{180}{20}$
Calculate the value:
$X = 9$
The value of $X$ is:
$\boxed{9}$

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