Question

The points X, Y, and Z lie on a number line with X located at -10 and XY = 18. If XZ is two-thirds as long as XY, where is Z located?

Answer 1

The point Z is located at 2 on the number line.

Step-by-step explanation:

The length of XY is 18 units, and it is given that XZ is two-thirds as long as XY. To find the length of XZ, we can multiply 18 by two-thirds:

XZ = (2/3) * 18 = 12 units.

Since X is located at -10 on the number line, Z, which is 12 units away from X, will be located at -10 + 12 = 2.