Question

Find the value of x

Answer 1

Answer:

The value of $x$ is 2.

Step-by-step explanation:

Given that $\overline{HI}$ and $\overline{HJ}$ are secant to arcs $HI$ and $HJ$, which have the same central angles. Therefore, $HI = HJ$ due to symmetry:

$HI = HJ$ (1)

$2\cdot x + 1 = 5\cdot x - 5$

$3\cdot x = 6$

$x = 2$

Hence, the value of $x$ is 2.