127k views
11 votes
If MN = x+4 and DE = 3x-2, find x. (More info in pic)

If MN = x+4 and DE = 3x-2, find x. (More info in pic)-example-1
User Alexgbelov
by
5.5k points

1 Answer

13 votes

Answer: D) 10

============================================================

Step-by-step explanation:

I'm assuming points M and N are midpoints of segments FD and FE respectively. If that's the case, then segment DE is twice as long compared to segment MN. We consider MN to be a midsegment.

So,

DE = 2*(MN)

3x-2 = 2*(x+4)

3x-2 = 2x+8

3x-2x = 8+2

x = 10

User Fred Mitchell
by
5.9k points