To determine which point is between the other two, we can use the concept of collinearity and the distances provided.
Given:
- UV = 7
- UQ = 9
- VQ = 16
From the information, we can set the positions of the points on a line based on point U being at position 0 (for simplicity):
- Position of U = 0
- Since UV = 7, V must be at position 7.
- Since UQ = 9, Q must be at position 9.
Now we can check the positions:
- U = 0
- V = 7
- Q = 9
Next, we also check the distance for VQ:
- VQ = Q_position - V_position = 9 - 7 = 2
Since the calculated VQ (2) does not match the provided VQ (16), we will use the given distance values directly and set up the inequalities based on the total distance between U and Q, which must equal the sum of the distances UV, VQ.
Also, since Q is located beyond V in the direction of U based on distance values, we can summarize by checking the positions:
For UV = 7 implies a distance going from U to V, further from U to Q creates distance relationships that must adhere to:
- U at 0 → V at 7 → distance to Q at 9 from U → directly leads across positions that makes fitting Q at 9 inconsistent when they should complete a proper distance count logically fitting back to V.
Now verify:
- Since U at 0, V at 7 → looks good logically but Q must be beyond both initially. Making sense gives:
- UV + VQ = UQ leads to assertion that Q being in true extended distance makes Q outside forming V lining fully.
From the addition of the segments:
Since the segments don't meet at expected intersections based on verification of distances across U to Q gives us:
- UV + VQ = UQ leads to V compression giving, V left, Q right and U left reveals Q is between all other points placed.
So the final placement gives: V is between U and Q in this arrangement confirming sequence geometrically fitting long distance travel.
Thus, V is the point that is between U and Q.
1 answer