Question

NEED HELP NOW! Solve for x.

A. 7

B. 1

C. 9

D. 12

Answer 1

the value of x is 9

Explanation:

Tangent chord angle = half of intercepted arc

4x+19 = half of minor arc DE

`4x+19 = (1)/(2) \ of \ minor \ arc \ DE`

Multiply by 2 on both sides

minor arc DE= 2(4x+19)= 8x + 38

sum of angle in a circle is 360 degree

minor arc DE + major arc DE = 360

`8x + 38 + 28x-2= 360`

`36x + 36= 360`

Subtract 36 from both sides

`36x=324`

Divide both sides by 36

x=9