Question

Jilliane draws parallelogram WXYZ. If WZ = 4s +25 and XY 10s11, what is the value of s? (1 point) (1 point) < 4 Item 9 10 of 24 Item 10 Item 11 Item

Answer 1

In a parallelogram, opposite sides are equal in length. Given the lengths of sides WZ and XY as \( WZ = 4s + 25 \) and \( XY = 10s + 11 \), we can set them equal to each other:

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

Now, let's solve for \( s \):

1. Subtract \( 4s \) from both sides:

\[
25 = 6s + 11
\]

2. Subtract 11 from both sides:

\[
25 - 11 = 6s
\]
\[
14 = 6s
\]

3. Divide by 6:

\[
s = \frac{14}{6} = \frac{7}{3}
\]

So, the value of \( s \) is \( \frac{7}{3} \).