DaneenQ444904 DaneenQ444904
  • 03-11-2022
  • Mathematics
contestada

Two chords intersect with the measures shown in the drawing. What is the value of x? 0 4 -2 2

Two chords intersect with the measures shown in the drawing What is the value of x 0 4 2 2 class=

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RameenX279876 RameenX279876
  • 03-11-2022

it is given that

the length of cords segments are

8 , 2x , 5x , 5

we know that when two chords intersect

the multiplication of the segments of the one chord will be equal the other chord

so,

[tex]8\times5=2x\times5x[/tex][tex]\begin{gathered} 40=10x^2 \\ x^2=4 \\ x=2 \end{gathered}[/tex]

thus, the answer is x = 2

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