Question

Jilliane draws parallelogram WXYZ
. If WZ=4s+25
and XY=10s−11
, what is the value of s?(1 point)
Responses

s=12
s equals 12

s=49
s equals 49

s=44
s equals 44

s=6

Answer 1

In a parallelogram, opposite sides are equal in length. Therefore, we can set the lengths of sides WZ and XY equal to each other:

\[
WZ = XY
\]

Substituting the expressions given:

\[
4s + 25 = 10s - 11
\]

Now, we'll solve for \(s\).

1. First, isolate the terms involving \(s\). Subtract \(4s\) from both sides:

\[
25 = 10s - 4s - 11
\]
\[
25 = 6s - 11
\]

2. Next, add \(11\) to both sides:

\[
25 + 11 = 6s
\]
\[
36 = 6s
\]

3. Now, divide both sides by \(6\):

\[
s = \frac{36}{6} = 6
\]

So, the value of \(s\) is:

**s = 6**.