Answer:
<h3>#4</h3>
Let M is the midpoint of DE.
Since D is at 8 and DE = 5.
DM = ME = 5/2 = 2.5
<u>Point M is at:</u>
- 8 + 2.5 = 10.5 if E is to the right of D
- 8 - 2.5 = 5.5 if E is to the left of D
<h3>#5</h3>
<u>Given</u>
- XY = 7,
- YZ = 2x - 1,
- XZ = 30
<u>Since XZ = XY + YZ, set up an equation and solve for x:</u>
- 7 + (2x - 1) = 30
- 2x + 6 = 30
- 2x = 24
- x = 12
<h3>#6</h3>
The distance from your house to friend's is LN.
<u>We have: </u>
- M is midpoint of LN, so LM = MN
- LM = 3x
- MN = 2x + 2
<u>Set up an equation, solve for x:</u>
- 3x = 2x + 2
- 3x - 2x = 2
- x = 2
<u>Find the distance LM:</u>
<u>Find the distance LN:</u>