Question

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

Answer 1

Answer:

Option C is the correct choice.

Step-by-step 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:

$RZ=ZT$

$8x-10=150$

$8x-10+10=150+10$

$8x=160$

$\frac{8x}{8}=\frac{160}{8}$

$x=20$

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.

Answer 2

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