Find the value of x in the diagram

x = 21

Step-by-step explanation:

Inscribed angle = (3x - 3)°

Intercepted arc measure = 120°

Thus:

(3x - 3)° = ½(120°) => an inscribed angle of any circle = ½ the measure of its intercepted arc.

Multiply both sides by 2

2(3x - 3) = 120

6x - 6 = 120

6x - 6 + 6 = 120 + 6

6x = 126

6x/6 = 126/6

x = 21

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

i believe the correct answer is b.