Question

75. If Z is the midpoint of RT, what are x, RZ, and RT?RZT7x - 2078A. x = 16, RZ = 78, and RT = 156B. r= 12, RZ= 64, and RT = 128C. x = 14, RZ= 78, and RT = 156D. x = 14, RZ = 156, and RT = 78

Answer 1

Given that Z is the midpoint of RT, then RZ and ZT are congruent, that is,

RZ = ZT

7x - 20 = 78

7x = 78 + 20

7x = 98

x = 98/7

x = 14

The value of RZ is:

RZ = 7x - 20

RZ = 7*14 - 20

RZ = 98 - 20

RZ = 78

And the value of RT is:

RT = RZ + ZT

RT = 78 + 78

RT = 156