Question

Please help me with the question.

Answer 1

MN = 7x + 3

Explanation:

Because MN connects the midpoints M and N of AD and BC respectively

MN is the midsegment of trapezoid ABCD , then

MN =
`(AB+DC)/(2)`

AB + DC = 6x + 7 + 8x - 1 = 14x + 6

MN =
`(14x+6)/(2)` =
`(14x)/(2)` +
`(6)/(2)` = 7x + 3