Final answer:
To solve the problem, we need to find the values of x and m that satisfy the given equations. By substituting the given equations into the equation m = 17x + 15 and solving for x and m, we find that x = -2 and m = -19.
Step-by-step explanation:
To solve the problem, we need to find the values of x and m that satisfy the given equations. We are given that m = 17x + 15, PQF m = 7x − 5, and FQR m = 100°.
Step 1: Substitute PQF m and FQR m into the equation m = 17x + 15.
This gives us 7x - 5 = 17x + 15 and 100 = 17x + 15.
Step 2: Solve these equations for x. Subtracting 7x from both sides of the first equation, we get -5 = 10x + 15.
Subtracting 15 from both sides, we have -20 = 10x.
Dividing both sides by 10, we find that x = -2.
Step 3: Substitute the value of x into the equation m = 17x + 15 to find the value of m.
Plugging in x = -2, we have m = 17(-2) + 15 = -34 + 15 = -19.
Therefore, the solution to the equations is x = -2 and m = -19.