Question

Segment LM is the midsegment of trapezoid ABCD . AB=x+8, LM=4x+3, and DC=180. What is the value of x ?
A) 26
B) 214
C)34
D)30

Answer 1

@Nurali

Answer 2

Here you need to find an average.
LM, the mid-segment is the average of the 2 other sides.

Can you try to write the equation?

Answer 3

What is the average of x+8 and 180 in terms of x?

Answer 4

\[
LM = \frac {AB+CD}2

\]

Answer 5

Replace LM, AB and CD by their values in terms of x and then solve for x

Answer 6

Can you finish it?

Answer 7

yeah idk if I did it right tho , I got 34.

Answer 8

\[
4 x + 3 = \frac { x+8 + 180}2\\
8x + 6= x + 8 + 180\\
x=26
\]

Answer 9

YW