Question

figure abcd is a parallelogram. what is the value of x? 6 7 8 9

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite - sides are equal. So, \(AD = BC\). Here, \(AD = 5x + 3\) and \(BC = 38\). We set up the equation \(5x+3 = 38\).

Step2: Solve the equation for \(x\)

Subtract 3 from both sides of the equation \(5x+3 = 38\). We get \(5x=38 - 3\), so \(5x = 35\).

Step3: Isolate \(x\)

Divide both sides of the equation \(5x = 35\) by 5. So, \(x=\frac{35}{5}=7\).

Answer:

7