Question

find the value of x in the following parallelogram. 47 4x - 5 x = ?

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, the two given line - segments are equal. We set up the equation $4x - 5=47$.

Step2: Solve the equation for x

Add 5 to both sides of the equation: $4x-5 + 5=47 + 5$, which simplifies to $4x=52$.

Step3: Isolate x

Divide both sides of the equation $4x = 52$ by 4. So, $x=\frac{52}{4}=13$.

Answer:

$13$