# If Z is the midpoint of RT, what are x, RZ, and RT? R Z T 4x – 22 30 Select one: a. x = 13, RZ = 60, and RT = 30 b. x = 11, RZ =

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

x = 20 RZ = 8x – 10 = 8(20) – 10 = 150 RT = RZ + ZT = 150 + 150 = 300 the answer is C x = 20, RZ = 150, RT = 300

, Walkthrough: We received a line segment. We are asked to find the length of the segment RZ, Rt and x. Since Z is the midpoint of the RT line segment, the length of the RZ segment will be equal to the length of the ZT segment. We have been given that the length of the ZT segment is 25 units, so the length of the RZ line segment will also be 25 units. Using this information, we can define an equation like: Since Z is the midpoint of the RT line segment, then the length of the RT segment will be 2 times the length of the ZT segment.

, Walkthrough: We received a line segment. We are asked to find the length of the segment RZ, Rt and x. Since Z is the midpoint of the RT line segment, the length of the RZ segment will be equal to the length of the ZT segment. We have been given that the length of the ZT segment is 25 units, so the length of the RZ line segment will also be 25 units. Using this information, we can define an equation like: Since Z is the midpoint of the RT line segment, then the length of the RT segment will be 2 times the length of the ZT segment.

Since Z is the middle, both sides must be equal: 4x-28 = 24 Add 28 to each side: 4x = 52 Divide both sides by 4: x = 52 / 4 X = 13, RZ = 24, RT = 48 The answer is C

C Walkthrough: Since Z is the midpoint of RT, then RZ = ZT, substitute the values ​​4x – 28 = 24 (add 28 to both sides) 4x = 52 (divide both sides by 4) x = 13 RZ = 4x – 28 = (4 × 13) – 28 = 52 – 28 = 24 RT = RZ + ZT = 24 + 24 = 48

I think it’s option c. x=20, RZ=150 and RT=300 hope i helped ^-^ Good luck

Option C is the right choice. Step by step explanation: We have been given that Z is the midpoint of the line segment RT. We are asked to find the value of x, RZ and RT. Since Z is the midpoint of the line segment RT, then RZ will equal ZT. We can therefore define an equation as: Therefore, the value of x is 20. To find the value of RZ, we will substitute into the expression as follows: Therefore, the length of RZ is 150 units. Since Z is the midpoint of the line segment RT, then the length of RT would be 2 times the length of RZ. Therefore, the length of RT is 300 units.