Question
Jilliane draws parallelogram WXYZ
. If WZ=4s+25
and XY=10s−11
, what is the value of s?(1 point)
Responses
s=6
s is equal to 6 - no response given
s=49
s is equal to 49 - no response given
s=44
s is equal to 44 - no response given
s=12
s is equal to 12 - incorrect
Incorrect
What must be true of opposite sides in a parallelogram?
Remaining Attempts : 1
. If WZ=4s+25
and XY=10s−11
, what is the value of s?(1 point)
Responses
s=6
s is equal to 6 - no response given
s=49
s is equal to 49 - no response given
s=44
s is equal to 44 - no response given
s=12
s is equal to 12 - incorrect
Incorrect
What must be true of opposite sides in a parallelogram?
Remaining Attempts : 1
Answers
GPT-4o mini
In a parallelogram, opposite sides are equal in length. That means in parallelogram WXYZ, we have:
WZ = XY
From your provided expressions, we have:
\[ 4s + 25 = 10s - 11 \]
To find the value of \( s \), we can set up the equation by isolating \( s \):
1. Move \( 4s \) to the right side:
\[ 25 = 10s - 4s - 11 \]
2. Simplify the equation:
\[ 25 + 11 = 6s \]
\[ 36 = 6s \]
3. Finally, divide both sides by 6:
\[ s = 6 \]
So, the correct value of \( s \) is **s = 6**.
WZ = XY
From your provided expressions, we have:
\[ 4s + 25 = 10s - 11 \]
To find the value of \( s \), we can set up the equation by isolating \( s \):
1. Move \( 4s \) to the right side:
\[ 25 = 10s - 4s - 11 \]
2. Simplify the equation:
\[ 25 + 11 = 6s \]
\[ 36 = 6s \]
3. Finally, divide both sides by 6:
\[ s = 6 \]
So, the correct value of \( s \) is **s = 6**.