Question

formal proofs online practice
complete this assessment to review what youve learned. it will not count toward your grade
jilliane draws parallelogram ( wxyz ). if ( wz = 4s + 25 ) and ( xy = 10s - 11 ), what is the value of ( s )? (1 point)
( s = 49 )
( s = 6 )
( s = 12 )
( s = 44 )
incorrect

• the problem asks for the value of ( s ) rather than the lengths of the sides.

check answer remaining attempts 1

Explanation:

Step1: Use the property of parallelogram

In a parallelogram, opposite sides are equal. So, \(WZ = XY\).
$$4s + 25=10s - 11$$

Step2: Solve the equation for \(s\)

Subtract \(4s\) from both sides:
$$25 = 6s-11$$
Add \(11\) to both sides:
$$36 = 6s$$
Divide both sides by \(6\):
$$s = 6$$

Answer:

\(s = 6\)