Question

triangle jkl is similar to triangle mno. find om. round your answer to the nearest tenth if necessary. figures are not drawn to scale.
l
k
23
14
j
n
x
57
m
o

Explanation:

Step1: Set up similarity proportion

$\frac{JK}{NM} = \frac{LJ}{OM}$
Substitute values: $\frac{14}{57} = \frac{23}{x}$

Step2: Cross-multiply to solve for $x$

$14x = 23 \times 57$
Calculate right-hand side: $14x = 1311$

Step3: Isolate $x$

$x = \frac{1311}{14}$

Step4: Compute and round

$x \approx 93.6$

Answer:

$93.6$