Question

Segment LM is a mid-segment of trapezoid ABCD. If AB-x+5, LM-4x-22 and DC-50... What is the value of x?

You MUST round your answer to the nearest tenth. (If it is exact, end it with.0)
A
B
D
L
Type your answer...
M
C

Answer 1

The value of x to the nearest tenth is 14.1

Using the midpoint relation :

• LM = (DC + AB)/2

4x - 22 = (50 + x + 5) / 2

2(4x - 22) = 55 + x

8x - 44 = 55 + x

8x - x = 55 + 44

7x = 99

x = 14.14

To the nearest tenth, x = 14.1