Question

If Z is the midpoint of RT, what are x, RZ, and RT

Answer 1

8x-10 = 150
8x = 160

x = 20

RZ = 8x - 10 = 8(20) - 10 = 150

RT = RZ + ZT = 150 + 150 = 300

answer is
C x = 20, RZ = 150, RT = 300

Answer 2

Option C is the correct choice.

Explanation:

We have been given that Z is the midpoint of line segment RT. We are asked to find the value of x, RZ and RT.

Since Z is the midpoint of line segment RT, so RZ will be equal to ZT. So, we can set an equation as:

`RZ=ZT`

`8x-10=150`

`8x-10+10=150+10`

`8x=160`

`(8x)/(8)=(160)/(8)`

`x=20`

Therefore, the value of x is 20.

To find the value of RZ, we will substitute
`x=20` in expression
`8x-10` as:

`RZ=8(20)-10`

`RZ=160-10`

`RZ=150`

Therefore, the length of RZ is 150 units.

Since Z is the midpoint of line segment RT, so length of RT would be 2 times length of RZ.

`RT=2*RZ`

`RT=2*150`

`RT=300`

Therefore, the length of RT is 300 units.