Determine the value of x.

The value of x is 14.75 ⇒ (2)

Step-by-step explanation:

In the given figure

∵ The vertices of the quadrilateral BCED lie on the circumference of circle A

→ By using the 1st rule above

∴ BCED is a cyclic quadrilateral

∵ ∠B and ∠E are opposite angles in the cyclic quadrilateral BCED

→ By using the 2nd rule above

∴ m∠B + m ∠E = 180°

∵ m∠B = 6x + 10

∵ m∠E = 81.5°

∴ 6x + 10 + 81.5° = 180°

→ Add the like terms on the left side

∴ 6x + 91.5 = 180

→ Subtract 91.5 from both sides

∵ 6x + 91.5 - 91.5 = 180 - 91.5

∴ 6x = 88.5

→ Divide both sides by 6 to find x

∴ x = 14.75

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5