Question

figure abcd is a parallelogram. what is the value of x? a b 5x + 3 30 d c (options: 6, 7, 8, 9)

Explanation:

Step1: Recall parallelogram side property

In a parallelogram, opposite sides are equal. So, \( AD = BC \).

Step2: Set up equation

Given \( AD = 5x + 3 \) and \( BC = 38 \), we set \( 5x + 3 = 38 \).

Step3: Solve for x

Subtract 3 from both sides: \( 5x = 38 - 3 = 35 \).
Divide both sides by 5: \( x = \frac{35}{5} = 7 \).

Answer:

7