Question

If GH is a diameter of circle F, find the measurement of the minor arc JI.

A. 51 degrees
B. 102 degrees
C. 112 degrees
D. 258 degrees

Answer 1

B) 102

Explanation:

To find x, we need to simplify and solve the equation (5x+6)=(7x-12):

5x + 6 = 7x - 12 // distribute the 5 and 7

6 + 12 = 7x - 5x // group the x terms and constants

18 = 2x

Now, we can solve for x by dividing both sides by 2:

18/2 = x

9 = x

Therefore, x is 9.

To find the solution if x = 9, we can simply substitute 9 for x in the given expressions:

(5x+6) = (5(9) + 6) = 51

(7x-12) = (7(9) - 12) = 51

Therefore, both expressions are equal to 51 when x = 9.