shahedjamal shahedjamal
  • 24-05-2021
  • Mathematics
contestada

Find the value of x

Find the value of x class=

Respuesta :

xero099
xero099 xero099
  • 29-05-2021

Answer:

The value of [tex]x[/tex] is 2.

Step-by-step explanation:

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

[tex]HI = HJ[/tex] (1)

[tex]2\cdot x + 1 = 5\cdot x - 5[/tex]

[tex]3\cdot x = 6[/tex]

[tex]x = 2[/tex]

Hence, the value of [tex]x[/tex] is 2.

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