Question

quadrilateral abcd below is a parallelogram. use the figure to select the best answer from the choices provided
if ( ad = 3x + 5 ), ( ab = 7x - 3 ), and ( bc = 8x - 10 ), what is the value of ( x )?
select the best answer from the choices provided.
a. 2
b. 3
c. 7
d. 8

Explanation:

Step1: Use the property of parallelogram

In a parallelogram, \(AD = BC\). So we set up the equation \(3x + 5=8x - 10\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides: \(5 = 8x-3x - 10\), which simplifies to \(5 = 5x-10\).
Add \(10\) to both sides: \(5 + 10=5x\), so \(15 = 5x\).
Divide both sides by \(5\): \(x=\frac{15}{5}=3\).

Answer:

B. 3