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: Set up proportionality equation

When parallel lines are cut by transversals, the corresponding segments are proportional, so $\frac{24}{52} = \frac{x}{40}$

Step2: Solve for x via cross-multiplication

$52x = 24 \times 40$ $52x = 960$ $x = \frac{960}{52}$

Step3: Simplify and round the value

$x \approx 18.4615$, rounded to the nearest tenth is $18.5$

Answer:

$18.5$