Question

11/10 - 11/14 delta math (due 11/16)
skill set #4.3 - properties of parallelograms (algebraic)
find the value of ( x ) and ( y ) in the parallelogram below.
9

• 10y - 1

19

• 9x - 9

Explanation:

Step1: Use the property of opposite sides of a parallelogram being equal

For the side with length \(9\) and \(-9x - 9\):
\(9=-9x - 9\)

Step2: Solve the equation for \(x\)

Add \(9\) to both sides:
\(9 + 9=-9x-9 + 9\)
\(18=-9x\)
Divide both sides by \(-9\):
\(x=\frac{18}{-9}=- 2\)

Step3: Use the property for the other pair of opposite sides

For the side with length \(19\) and \(-10y - 1\):
\(19=-10y - 1\)

Step4: Solve the equation for \(y\)

Add \(1\) to both sides:
\(19 + 1=-10y-1 + 1\)
\(20=-10y\)
Divide both sides by \(-10\):
\(y=\frac{20}{-10}=-2\)

Answer:

\(x = - 2,y=-2\)