help Find WX VW and WY

Mathematics
Tutor: None Selected Time limit: 1 Day

this is a geometry question

a line has 5 points..points V W X Y and Z from points V to Z is 52 and 20 between points X and Z. the distance between W and X is X to Y.And finally the distance between X and Y is Y to Z. sorry if this is confusing.

Sep 1st, 2015

Hi there! Thank you for the opportunity to help you with your question!

We know that the distance from XZ is 20, and that the distance from XY is the same as YZ. Since Y is the only point between X and Z, it means that the distance between XY = 10, YZ = 10. 

We also know that the distance from WX is the same as XY. We just found that XY = 10, therefore WX = 10.

Now, since we know that V (the first point) to Z (the last point) is 52. This should be equal to the sum of:

VZ = VW + WX +XY+YZ. 

We know that VZ = 52, WX = 10, XY =10 and YZ =10, so:

52 = VW + 10 + 10 +10,

which means that VW must be equal to 22 (so that 22 + 10 + 10 + 10 =52)

Finally WY is the same as the sum:

WY = WX + XY = 10 +10 = 20

WY = 20

This picture may help:


Please let me know if you need any clarification. Always glad to help!
Sep 1st, 2015

Thank you so much. You explained it perfectly. ☺

Sep 1st, 2015

Glad to help! I would really appreciate if you could leave a review on my profile! :)

Sep 1st, 2015

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