Find the value of x and y that will make each quadrilateral a parallelogram.​

6

Step-by-step explanation:

x = 15, y = 7

Step-by-step explanation:

opposite angles are congruent in a parallelogram:

=> 3x + 4 = 7y

=> 3x - 7y = -4

the same-side interior angles of a parallelogram are supplementary angles, which means they sum to 180°:

=> 8x + 11 + 7y = 180

=> 8x + 7y = 169

add the two equation 3x - 7y = -4 and 8x + 7y = 169 to eliminate y and solve for x:

=>  3x - 7y = -4

    8x + 7y = 169

+)

    11x         = 165  => x = 15

plug  x = 15 into one of the two equation to solve for y:

=> 3(15) - 7y = -4

=> 45 - 7y = -4

=> 7y = 49

=> y = 7

step-by-step explanation:

d

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>