Question

Find the value of x and YZ if Y is between X and Z. Draw, label, set up the equation and solve each for :

Answer 1

Step-by-step explanation:

We need to find the value of x for all problems if Y is between X and Z.

For all cases, XZ = XY+YZ

4. XY = 5x, YZ=x, and XZ=25

Putting all values

25 = 5x + x

25 = 6x

$x=\dfrac{25}{6}$

5. XY = 12, YZ=2x, and XZ = 28

28 = 12 + 2x

x = 8

6.  XY = 4x. YZ=3x, and XZ = 42

XZ = XY+YZ

42 = 4x + 3x

42 = 7x

x = 6

7. XY=2x + 1. YZ = 6x, and XZ=81

XZ = XY+YZ

81 = 2x + 1 + 6x

80 = 8x

x = 10