Question

Find the value of n and WX if Wis between

X and Y,
WX = 6n - 10, XY = 17, and WY = 3n.
Hint: Remember to draw a figure to
represent this situation.

Answer 1

Explanation:

If W is between X and Y, this means that W is the midpoint of X and Y. The expression XW+WY = XY is therefore true.

Given WX = 6n - 10, XY = 17, and WY = 3n, substituting the given functions into the formula;

6n-10+3n = 17

9n-10 = 17

add 10 to both sides

9n-10+10 = 17+10

9n = 27

divide both sides by 9

9n/9 = 27/9

n = 3

Since WX = 6n-10

substitute n = 3 into the function

WX = 6(3)-10

WX = 18-10

WX = 8

Hence n = 3 and WX = 8