Final answer:
To find the value of x, we equate QM and MT and solve the resulting equation.
Step-by-step explanation:
In this question, we are given that M is the midpoint of OT and we need to find the value of x when QM = 51 - 4 and MT = 3x + 2.
Since M is the midpoint of OT, we can write the equation QM = MT. Substituting the given values, we have 51 - 4 = 3x + 2.
Simplifying the equation, we get 47 = 3x + 2.
Subtracting 2 from both sides, we have 45 = 3x.
Dividing both sides by 3, we get x = 15. Therefore, the value of x is 15.