for what values of the variables must abcd be a parallelogram?\n$x=\\square$\n$y=\\square$\n(type whole…

for what values of the variables must abcd be a parallelogram?\n$x=\\square$\n$y=\\square$\n(type whole numbers.)

for what values of the variables must abcd be a parallelogram?\n$x=\\square$\n$y=\\square$\n(type whole numbers.)

Answer

Explanation:

Step1: Set equal opposite sides (x)

In a parallelogram, opposite sides are congruent, so set $2x+1 = x+3$. Subtract $x$ from both sides: $2x - x +1 = 3$ Simplify: $x +1 = 3$ Subtract 1 from both sides: $x = 3-1 = 2$

Step2: Set equal opposite sides (y)

Opposite sides are congruent, so set $7y-8 = y+4$. Subtract $y$ from both sides: $7y - y -8 = 4$ Simplify: $6y -8 = 4$ Add 8 to both sides: $6y = 4+8 = 12$ Divide by 6: $y = \frac{12}{6} = 2$

Answer:

$x=2$ $y=2$