Question

Find the value of x.

6
4x + 9
I
6 + 20%
go to (-3, -7)
go to (-5, 6)
a) x = 7
b) x= 1
c) x = 12
d) x= 24
e) x = 14
go to (4,0)
go to (5,-2)
go to (7,-3)

Answer 1

Answer:

c) x = 12

Explanation:

By tangent secant theorem:

\begin{gathered}(4x + 9) \degree = \frac{1}{2} \{360 - (6 + 20x) \} \degree \\ \\ 2(4x + 9) \degree = \{360 - 6 - 20x) \} \degree \\ \\ (8x + 18) = 354 - 20x\\ \\ 8x + 20x= 354 - 18 \\ \\ 28x = 336 \\ \\ x = 12\end{gathered}

(4x+9)°=

2

1

{360−(6+20x)}°

2(4x+9)°={360−6−20x)}°

(8x+18)=354−20x

8x+20x=354−18

28x=336

x=12

Answer 2

c) x = 12

Explanation:

By tangent secant theorem:

`(4x + 9) \degree = (1)/(2) \{360 - (6 + 20x) \} \degree \\ \\ 2(4x + 9) \degree = \{360 - 6 - 20x) \} \degree \\ \\ (8x + 18) = 354 - 20x\\ \\ 8x + 20x= 354 - 18 \\ \\ 28x = 336 \\ \\ x = 12`