given lines (l), (m), and (n) are parallel and cut by two transversal lines, find the value of (x). round…

given lines (l), (m), and (n) are parallel and cut by two transversal lines, find the value of (x). round your answer to the nearest tenth if necessary.

given lines (l), (m), and (n) are parallel and cut by two transversal lines, find the value of (x). round your answer to the nearest tenth if necessary.

Answer

Explanation:

Step1: Apply proportional - side rule

Since the three parallel lines (l), (m), and (n) are cut by two transversals, we can use the property of proportional segments. The ratios of corresponding segments are equal. So, (\frac{x}{38}=\frac{28}{47}).

Step2: Solve for (x)

Cross - multiply to get (47x = 28\times38). Then (x=\frac{28\times38}{47}). Calculate (28\times38 = 1064), so (x=\frac{1064}{47}\approx22.6).

Answer:

(22.6)