Question

TinAtte33Question 68 ptsGiven A is between Y and Z and YA = 46, AZ = 8x,and YZ = 166, find the value of x.Draw a diagram on a separate sheet of paper to helpsolve

Answer 1

You have the following information:

- A is in between Y and Z

- YA = 46

- AZ = 8x

- YZ = 166

In order to find the value of x, you consider that segment YZ is the sum of segments YA and AZ:

`YZ=YA+AZ`

You replace the given esxpressions for each segment:

`166=46+8x`

Then, you solve the previous equation for x. You subtract 46 both sides of the equation, and then you divide both sides by 8, just as follow:

`\begin{gathered} 166=46+8x \\ 166-46=8x \\ 120=8x \\ (120)/(8)=x \\ x=15 \end{gathered}`

Hence, the value of x is x = 15

In the image below there is a diagram of the segments: