LizabethX288412 LizabethX288412
  • 03-11-2022
  • Mathematics
contestada

In the circle below, if arc AB is congruent to arc CD, chord AB = 7x - 8 and chord CD = x + 16, find x.

In the circle below if arc AB is congruent to arc CD chord AB 7x 8 and chord CD x 16 find x class=

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AbidQ139753 AbidQ139753
  • 03-11-2022

Given:

Arc AB is congruent to arc CD, chord AB = 7x - 8 and chord CD = x + 16,

Required:

Find x?

Explanation:

If two arcs of a circle are congruent, then corresponding chords are equal.

So,

[tex]\begin{gathered} AB=CD \\ 7x-8=x+16 \\ 6x=24 \\ x=4 \end{gathered}[/tex]

Answer:

Option C is correct.

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