Question

If z is the midpoint of RT and RT = 5x - 13, what are the values of x, RZ, and RT if RZ = 52?

a) x = 13, RZ = 52, RT = 52
b) x = 13, RZ = 26, RT = 65
c) x = 13, RZ = 52, RT = 65
d) x = 13, RZ = 26, RT = 52

Answer 1

The values of x, RZ, and RT are x = 23.4, RZ = 52, and RT = 104.

Step-by-step explanation:

To find the values of x, RZ, and RT, we can use the fact that z is the midpoint of RT. This means that RZ is equal to half of RT. Since RZ is given as 52, RT must be 2 times RZ, which is 104.

Now we can set up the equation for RT using the given expression:

RT = 5x - 13

Substituting the value of RT as 104, we can solve for x:

104 = 5x - 13

117 = 5x

x = 23.4

Therefore, the values of x, RZ, and RT are x = 23.4, RZ = 52, and RT = 104.