Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
a. x = 8, y = 17
b. x = 6, y = 8
c. x = 8, y = 10
d. x = 8, y = 6

Find values of x and y for which ABCD must be a parallelogram The diagram is not to scale a x 8 y 17 b x 6 y 8 c x 8 y 10 d x 8 y 6 class=

Respuesta :

D. X = 8 , Y = 6

3x - 14 = x + 2
3x - x = 2 + 14
2x = 16
2x / 2 = 16/2
x = 8

To check: 3x - 14 = x + 2 ;  3(8) - 14 = 8 + 2  ;  24 - 14 = 10  ; 10 = 10

4y - 7 = y + 11
4y - y = 11 + 7
3y = 18
3y / 3 = 18 / 3
y = 6

To check: 4y - 7 = y + 11 ; 4(6) - 7 = 6 + 11  ;  24 - 7 = 17  ; 17 = 17